c++ program to solve any linear equation in one variable

Live Demo For example: 1. If there is no solution for the equation, return “No solution”. ax+b = 0 is the format for one variable equations. Solve this equation for x. eqn = x^2 + 5*x - 6 == 0; S = solve(eqn,x) S = 1 sym(1) Allow solutions to . X + Y + Z = 0 This equation would be represented by its parameters: parameters[0] is X, parameters[1] is Y, parameters[2] is Z. Linear Equation in One Variable The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. x = [ -b +/- sqrt(b^2 - 4ac) ] / 2a We have to find the value of (b*b - 4*a*c). out. Here’s the list of Best Reference Books in C Programming, Data Structures and Algorithms. Otherwise, the value of X is calculated and printed. C Program to solve Equations This is a menu driven C program which can be used to solve quadratic equations, cubic equations and n linear equations of n variables. I found this question in a differential equation textbook as a question The equation $$ \frac{dy}{dx} =A(x)y^2 + B(x)y +C(x) $$ is called Riccati's equation show that... Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for â¦ public class Solve_Linear_Equation. Use the addition, subtraction, multiplication, and division properties of equalities to solve linear equations. solve solve one or more equations Calling Sequence Parameters Basic Information Examples Details Calling Sequence solve( equations , variables ) Parameters equations - equation or inequality, or set or list of equations or Solve Equations Using the General Strategy Until now we have dealt with solving one specific form of a linear equation. Unit: Solving equations with one unknown. Find the two numbers. Case 2. We all know what polynomial equations are and it is one of the common problems given to the beginners when they first start learning C. So, there is a simple program shown below which takes the use of functions in C language and solve the polynomial equation entered by the user provided they also enter the value of the unknown variable x. Solve equations, return full solutions, and visualize results. Solve for Y. Know what a linear equation is. How to Solve Quadratic Equation using Python? Solving a Linear Equation in General Get the variable you are solving for alone on one side and everything else on the other side using INVERSE operations. This problem shows, solution to linear equations of N variable in general. Input / Parsing The input will only contain numbers, operators, parenthesis (()), x, and an = sign (this means no whitespace). solx contains the solution for x, which is pi*k - pi/4.The param variable specifies the parameter in the solution, which is k.The cond variable specifies the condition in(k, 'integer') on the solution, which means k must be an integer. Use the addition, subtraction 4. The user enters the equations on the input form and then uses the Operation/Solve menu item to solve the equations. How to Solve a Linear Equation in One Variable Lesson Objectives: After completing this tutorial, you should be able to: 1. If something was added to it, we will subtract. This page will show you how to solve an equation for some unknown variable. I am looking for ways this program can be improved in This complexity is a result of the additional variable. 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Enter the following inputs for two equations of the form ax + by = c.\n\n"; LinearEquation one, two; std::cout << "Equation #1\n"; one = readEquation(); std::cout << "Equation #2\n"; two = readEquation(); double det = findDeterminant(one, two); if (det != 0) { Solution solution = solveEquation(one, two, det); std::cout << "The solution:\n"; std::cout << "x = " << solution.x << "\n"; std::cout << "y = " << solution.y … Java Program to Solve any Linear Equations //This is a sample program to solve the linear equations. 2. A statement which states that two algebraic expressions are equal is called an equation. Know what a linear equation is. Identify the algebraic linear equations from the given expressions. How we do this depends on the equation itself! This is a simple program is intended for intermediate level C++ programmers. A linear equation is an equation in one variable that can be written, where \(a\) and \(b\) are real numbers and \(aâ 0\), as: \[ax+b=0\] To solve a linear equation it is a good idea to have an overall strategy that can be used to solve any linear equation. 2. The data in simultaneous equations can be read as matrix and then we can solve those matrices to find the value of the variables. char []var = {âxâ, âyâ, âzâ, âwâ}; System. Know if a value is a solution or not. The next day he sold 17 mangoes and 22 oranges for $500. sqrt(-1), as Although there are several methods for solving this type of equationâ¦ See (Figure) . We have to solve for Y. I have given here a C# program to solve any Quadratic Equation. For linear equation of the form aY + b + c = 0, we need to input value of a,b,c. We have to determine the appropriate X value where it is taken into account that the linear equation in one variable form aX + b = cX + d, where a, b, c, d are given as input data,. Know what a linear equation is. Cramer’s rule: In linear algebra, Cramer’s rule is an explicit formula for the solution of a system of linear equations with as many equations as unknown variables. Solve a Linear Equation Involving One Unknown. For linear equations, you would have to simulate one of the methods described in Linear Algebra Books. The method I have implemented for solving linear equations in two variables is a formula which can be derived by operating on both sets of the equation. If you're looking for code, check out GiNaC, Maxima, and SymbolicC++ (depending on your licensing requirements, of course). I am considering using a stack and pushing each string token onto it as I … The only power of the variable is 1. Program to read a Non-Linear equation in one variable, then evaluate it using Simple Itrative Method and display its kD accurate root Program to find the value of sin at any given angle Program that defines â¦ Simplify: 1. To solve a simple linear equation, start by moving the numbers with a variable attached to one side of the equation and the numbers without a variable attached to the other side. Some If there are infinite solutions for the equation, return “Infinite solutions”. This page will show you how to solve an equation for some unknown variable. Suppose, a fruit-seller sold 20 mangoes and 10 oranges in one day for a total of $350. 3x= 9 2. How to solve the simultaneous linear equations in R? C Program to Solve any Linear Equation in One Variable, So, there is a simple program shown below which takes the use of functions in C language and solve the polynomial equation entered by the user We all know what This is a C++ Program that Solves any Linear Equation in One Variable. A program to solve a linear equation in one variable is as follows −, The output of the above program is as follows, In the above program, first the values of a, b, c and d are input by the user. The program output is also shown below. Linear equtions with one variable 1. By doing this, we will slowly be getting the variable by itself.Let’s use an example to see how this works. out. Linear equations in one variable may take the form ax + b = 0 and are solved using basic algebraic operations. Solving Basic Linear Equations. The program has a single rich-text control that allows loading text, saving text, and printing text. After having values of all the constants we need to solve for Y and create a function which will return the calculated value of Y. In solving any equation, we transform a given equation whose solution may not be obvious to an equivalent equation whose solution is easily noted. The text can be anything, but is intended to be a set of simultaneous equations. In this example, we are using the linear equation in the form of ax +b = cx + d, where b and d are constants. The equation contains only ‘+’, ‘-‘ operation, the variable and its coefficient. println(“Enter the number of variables in the equations: “); Scanner input = new Scanner(System. 1. Since value of Y can have fractional values that is why we have taken its data type as float. Variables are the numbers mentioned in terms of any alphabets, in the examples given we see variables like a,b,c,x,y. Revision Notes on Linear Equations in One Variable Algebraic Expressions Any expression involving constant, variable and some operations like addition, multiplication etc is called Algebraic Expression. 2. Know if a value is a solution or not. x. Solve Linear Equations Step 2: Everything you do to one side must be done to the other. Program #include #include #include #include double determinant(double A[][10],double a) {double B[10][10],b,I,J,M,N,P,Q; if(a==1) b=A[0][0]; else If it was multiplied by something, we will divide. It can simply evaluated as -(b+c)/a. Use the addition, subtraction, multiplication, and division properties of equalities to solve linear equations. Also, it is suggested to solve sample papers and previous year question papers which gives an idea of types of questions asked in the board exam from Linear Equations in One Variable. You might use all four or just one, as long as your variable remains by itself on one side. 96 823 553 2 xx yx xx The equation involving only one variable in first order is called a linear equation in one variable. (a) x 2 + x = 2 (b) 3x + 5 = 11 (c) 5 + 7 = 12 (d) x + y 2 = 3 (a) x 2 Linear Equations in One Variable Class 8 Extra Questions Very Short Answer Type Question 1. How to Solve a Linear Equation in One Variable Lesson Objectives: After completing this tutorial, you should be able to: 1. In … A three-variable linear equation is a bit more difficult to solve compared to equations with two variables. Use equality properties: Use equality properties for addition/subtraction and multiplication/division to move numbers (constants) to one side. When it is In this method, we solve for one variable in one equation and substitute the result into the second equation. A program to … FacebookTwitterLinkedInIn mathematics, linear equation with one variable refers to as the equation which has a variable with a degree of 1; i.e., x1. Solving a linear equation in one variable means finding the value of the variable; this involves performing the same operations to both sides of an equation to maintain equality while working to isolate the variable on one side of the equation. When constants are both negative and positive: C Program source code to solve Simultaneous Linear Equations in two variables /*The following program finds out the solutions to simultaneous equation in two variables.The equations are of the form ax+by=c and px+qy=r. An x Know when an equation has no solution. Program csEquationSolver solves simultaneous equations. This program simply goes through each coefficient and constant term and basically applies a "formula" to solve the equation. Your program will take a linear equation containing a single variable x and output the value of x. You just need to type in the expressions on the left and right side of the "=" sign. 8th grade. This is given below −, If a is equal to c and b is equal to d, then there are infinite solutions for the equation. The purpose of this is to demonstrate using the generic SparseArray class for a vector, the generic Sparse2DMatrix class as a matrix, and the LinearE… You can also press the green button provided on its interface to solve an equation. The Problem states that given a linear equation in one variable of the form aX + b = cX + d where a,b,c,d are provided as input, we need to determine the appropriate value of X. For example, 2x+3=8 is a linear equation having a single variable in it. The expressions with only one variable are called Linear Equations in one variable. Note: Please do not type and "=" signs. Any linear equation in one variable has the form aX + b = cX + d. Here the value of X is to be found, when the values of a, b, c, d are given. Put them in the given equation and make the resulting equation equal to 0. must be an integer. In this example, the ordered pair (4, 7) is the solution to the system of linear equations. Linear-Equations.doc - Linear Equations A linear equation in one variable is any equation of that may be written in the form Ax B = C where A B and C Linear-Equations.doc - Linear Equations A linear equation... School Columbia Southern University Course Title HLS 2301 The C++ program is successfully compiled and run on a Linux system. Given the coefficients as input, it will solve the equation and output the roots of the equation. C++ Program to Solve any Linear Equation in One Variable Code: #if !defined(MATRIX_H) #define MATRIX_H Sanfoundry Global Education & Learning Series – 1000 C Programs. C++ Program to implement Linear Extrapolation, Write a C# program to solve FizzBuzz problem, C++ Program to Solve the Fractional Knapsack Problem, C++ Program to Solve the Dominating Set Problem, Program to solve partially filled Sudoku Grid in C++, C++ Program to Solve the 0-1 Knapsack Problem, C++ Program to Solve Knapsack Problem Using Dynamic Programming, C program to find the Roots of Quadratic equation, Program to find number of solutions in Quadratic Equation in C++, C++ Program to Represent Linear Equations in Matrix Form. 1. You need to implement a parser of your own which could solve the equations. 3. 3. Given a linear equation in one variable, we may use one or both of the previous two theorems to form an equivalent equation of the form 1x = a, whose solution set is {a}. Not feeling ready for this? In this example, we are using the linear equation in the form of ax +b Let's see how a system of linear equation can be used to solve real-world problems. I will start with the following example. Isolate the variable on one side of the equation. Use the distributive property to remove parenthesis. The code of that is small enough. Therefore, this equation has only one solution, which is x = 5/2. An equation is an expression that equates with another. A linear equation is an equation of a straight line, written in one variable. This is a C Program to solve any linear equation in one variable. Input the values of a,b,c. printf (" \n Enter a linear equation in one variable of the form aY + b + c = 0 "); printf (" \n Enter the value of a, b, c respectively: "); scanf ("%f%f%f", & a, & b, & c); Y = solve_for_y (a, b, c); printf (" \n Solution is Y = %f", Y); return 0;} In this example we solve for the variable x: 3. aa y x 3157 28 053 How do you solve equations in Java? x² -> x*x (If you want to square something more complicated it might be best to use a temporary variable for the value to be squared, breaking your equation up into pieces.) Free linear equation calculator - solve linear equations step-by-step This website uses cookies to ensure you get the best experience. Apply the distributive property as needed: a ( b + c) = a b + a c. \displaystyle a\left (b+c\right)=ab+ac a(b + c) = ab + ac. We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. 3xy +7 = 40 4. abc+b+c = 15 The expressions in the example given above signify expression of an equation in terms of variables. Find the two numbers. Note that if you divide an int by an int in C you get an int. 3. The C++ program to solve quadratic equations in standard form is a simple program based on the quadratic formula. Find a linear equation to solve for the following unknown quantities: One number exceeds another number by [latex]17[/latex] and their sum is [latex]31[/latex]. char []var = {‘x’, ‘y’, ‘z’, ‘w’}; System. This is given below −, Secant method to solve non-linear equation. The following property, sometimes called the addition-subtraction property , is one way that we can generate equivalent equations. Solve an equation 5x - 8 + 2x - 2 = 7x - 1 - 3x - 3 for the unknownx. For example, 1. Problem Description. This is a C++ Program to solve linear equation. Search google for "C# Equation Parser". 2. Note: Please do not type and "=" signs. We are well aware of the term “Equations”. If equations do get complex, It won't surely be few lines of C/C++ code. We can verify the solution by substituting the values into each equation to see if the ordered pair satisfies both equations. If the user wants to solve for X, they would have to provide Y and Z. C Program to solve Equations This is a menu driven C program which can be used to solve quadratic equations, cubic equations and n linear equations of n variables. What are the cases when its impossible to solve & has more than one solution ? These expressions have only one variable. If there is exactly one solution for the equation, ensure that the value of x is an integer. Remove fractions by multiplying both sides of the linear equation by the denominator.2. © 2011-2021 Sanfoundry. It works as far, but it could have minor bugs. 1. Linear equations in one variable may take the form ax+b=0ax+b=0 and are solved â¦ Here in this program we have taken 3 variables a, b and c where a is the coefficient of Y. I am trying to write a function to solve an equation for one of its variables. public class Solve_Linear_Equation. Know if a value is a solution or not. When all the constants are positive: Given a linear equation, task is to find the value of variable used. W W rite a flowchart to solve any linear equation ax^2+bx+C=0 Expert Answer In the standard form of a linear equation -- ax + b = 0 -- x appears on the left. Case 1. Quadratic equation is a second order of polynomial equation in a single variable. Here is source code of the C++ Program to Solve any Linear Equation in One Variable. C++ Programming Server Side Programming. E.g. In both of these cases the variable is isolated, or by itself.So we need to figure out how to isolate the variable. A variable is an unknown number and generally, it is represented by a letter like x, y, n etc. C++ Program to Solve any Linear Equation in One Variable. How to solve a linear equation In this lesson you can learn how to solve a simplest equation with one unknown variable. Solving One Variable Equations And Inequalities Unit: Solving equations with one unknown. When the variable is multiplied by a coefficient in the final stage, multiply both sides of the equation by the reciprocal of the coefficient. The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. If a is equal to c, then the equation is wrong. For example, if we have three equations as − x + y + z = 6 3x + 2y + 4z = 9 2x + 2y – 6z = 3. then we will convert these equations into matrices and solve them using solve function in R. Example1. Linear Equations in One Variable â Solving Equations which have Linear Expressions on one Side and Numbers on the other Side | Class 8 Maths Last Updated : 31 Oct, 2020 Linear equation is an algebraic equation that is a representation of the straight line. An equation 129 is a statement indicating that two algebraic expressions are equal. For example: Case 3. When the coefficient of Y is zero. After all your hard work solving the equation, you know that you want a final answer like x=5 or y=1. By using this website, you agree to our Cookie Policy. 2x+4 = 10 3. In mathematics, linear equation with one variable refers to as the equation which has a variable with a degree of 1; i.e., x1. It is already put in for you. Solving linear equations in one variable. A linear equation is an equation of a straight line, written in one variable. It is already put in for you. In order to keep your equation balanced and accurate, any functions you’ve done on one side of the equation must be done to the other. 4. It is time now to lay out one overall strategy that can be used to solve any linear equation. In order to solve an equation, just type it in its original form, like AX + B = C (a linear equation with one variable) and press Enter button. A system of equations is a set of one or more equations involving a number of variables. Here is source code of solving any linear equation in one variable. The program output is also shown below. Java Program to Solve any Linear Equations //This is a sample program to solve the linear equations. Linear equations in one variable are equations where the variable has an exponent of 1, which is typically not shown (it is understood). When you solve an equation for a variable under assumptions, the solver only returns solutions consistent with the assumptions. The variables a and b are determined and x is computed by -b/a. 1. The method for solving linear equations in one variable is quite simple. Linear-Equations.doc - Linear Equations A linear equation in one variable is any equation of that may be written in the form Ax B = C where A B and C Linear Equations A linear equation in one variable is any equation of that may be written in the form Ax + B = C where A, B, and C are real number coefficients and x represents any â¦ All Rights Reserved. Any linear equation in one variable has the form aX + b = cX + d. Here the value of X is to be found, when the values of a, b, c, d are given. You just need to type in the expressions on the left and right side of the "=" sign. For example, for input string: "x + 9 – 2 - 4 + x = – x + 5 – 1 + 3 – x" The output should be 1. Then the equation is displayed. #include using namespace std; void GetX (float w, float x, float y, float z) { if(w==y && x ==z) cout<<"Infinite Solutions"<< endl; else … To move a number to a different side, you need to Check ... (one variable... Purplemath "Linear" equations are Page 9/54. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. These cases the variable and its coefficient C, then the equation ‘ x ’, ‘ ’! Completing this tutorial, you know that you want a final c++ program to solve any linear equation in one variable like x=5 y=1! Its variables returns solutions consistent with the assumptions equation itself Scanner (.. Equal is called a linear equation in one variable may take the form ax + b 0. C Programs has only one variable solved using basic algebraic operations surely few! Would be something like \ ( 12x = x â 5\ ) called an 129. Variable remains by itself on one side of the equation a number of variables, but it could have bugs... One day for a total of $ 350 in the expressions with only one solution, which is =! 2 xx yx xx the equation under assumptions, the ordered pair satisfies both equations your hard solving! There are infinite solutions ” do this depends on the quadratic formula the expressions on the input form then! For one of three types: identity, conditional, or by itself.So we need to type in given. ( one variable are called linear equations //This is a statement which states that two algebraic are! You want a final answer like x=5 or y=1 equation has only one solution, which is x =.! How this works quadratic equation is wrong one, as long as your variable remains by on. Order is called a linear equation in a single variable in first order is a! ‘ Y ’, ‘ Y ’, ‘ z ’, ‘ ’... States that two algebraic expressions are equal is called a linear equation having a single rich-text that... Tutorial, you know that you want a final answer like x=5 or y=1 show how! Equation having a single variable the constants are both negative and positive: for example: Case 3 help out! Equation and output the roots of the C++ program to … this a! Solution or not a sample program to solve an equation for one variable as one of its.... ( “ Enter the number of variables an equation for some unknown variable do not type and =. Able to: 1 n't surely be few c++ program to solve any linear equation in one variable of C/C++ code the example given above signify expression of equation. Variable are called linear equations of N variable in it solve a linear calculator! Equation itself... Purplemath `` linear '' equations are page 9/54 given as a string input a. Using the general Strategy Until now we have taken 3 variables a and b determined... String input to a function to solve an equation 129 is a solution or not Best.. As matrix and then we can verify the solution to the other equation in one variable may the! In a single variable total of $ 350 by classifying linear equations in one variable that if you divide int. Enters the equations would be the most efficient algorithm to solve any linear equation in this method, will! And z string input to a function to solve the equations: “ ) ; Scanner input = new (... Matrix and then we can verify the solution to the other example to see this! B and C where a is equal to 0 of an equation in one day for total. Are page 9/54 in one variable if it was multiplied by something, we will subtract number and,..., or by itself.So we need to figure out how to solve the linear. Of Best Reference Books in C Programming, data Structures and Algorithms Objectives: After completing this tutorial, agree! These cases the variable the C++ program to solve an equation 5x - 8 + 2x - 2 = -... X = 5/2 a result of the C++ program is successfully compiled and run on a Linux.! Both of these cases the variable by itself.Let ’ s use an example to see how works. Set of one or more equations involving a number of variables shows, solution to the of! Left and right side of the additional variable Purplemath `` c++ program to solve any linear equation in one variable '' equations page... Program based on the left and right side of the variables text can be as. Remains by itself on one side of the equation variable is isolated, or by we! Minor bugs this website uses cookies to ensure you get the Best experience it represented! Out one overall Strategy that can be read as matrix and then uses the Operation/Solve menu item solve! Intermediate level C++ programmers equations //This is a C program to solve a linear equation in one variable equations ``... Is successfully compiled and tested using Codeblocks gnu/gcc compiler on windows 10 rich-text. Using this website, you know that you want a final answer x=5... Equation involving only one solution for the equation statement indicating that two algebraic expressions are equal C++ Language... Of equalities c++ program to solve any linear equation in one variable solve linear equations in one variable equation to see how works... As matrix and then we can verify the solution by substituting the into! Above signify expression of an equation for a total of $ 350 isolate the variable and coefficient... Need to type in the equations on the quadratic formula Secant method to solve any linear equations 2. Solve any linear equation uses the Operation/Solve menu item to solve linear equations of an equation a... You know that you want a final answer like x=5 or y=1 search for! '' to solve any linear equation in terms of variables C++ programmers, is one way we. S use an example to see if the ordered pair ( 4, 7 ) is the coefficient Y... Have dealt with solving one specific form of a straight line, written in one variable... Purplemath `` ''. All the constants are positive: for example: 1 `` linear '' equations page! … this is given below −, Secant method to solve the linear equation in terms of variables in expressions... 129 is a statement which c++ program to solve any linear equation in one variable that two algebraic expressions are equal provided on its to... The form ax + b = 0 and are solved using basic algebraic operations wants to solve an equation a... This, we will divide roots of the `` = '' sign equalities to solve the equation constants to... A straight line, written in one variable is an equation in one variable equation Parser '' algebraic... It could have minor bugs list of Best Reference Books in C you get an by. Structures and Algorithms, written in one equation and output the roots of the methods in! Need to type in the given expressions equations are page 9/54 and printed lines of C/C++ code result the. But it could have minor bugs must be done to the other, solution to linear equations positive: example! By itself.Let ’ s the list of Best Reference Books in C Programming, data and. Equations Step 2: Everything you do to one side of the variables have taken 3 variables a, and... Through each coefficient and constant term and basically applies a `` formula '' to solve linear equations added it! Solve equations, you agree to our Cookie Policy fractional values that is why we taken. Using basic algebraic operations see how this works: 1: use equality properties addition/subtraction... ( system types: identity, conditional, or inconsistent Operation/Solve menu item to solve linear of... 3X - 3 for the equation contains only ‘ + ’, ‘ - operation! `` linear '' equations are page 9/54 Everything you do to one side equation only! Solution by substituting the values of a, b and C where a is equal to 0 tested Codeblocks! Solve those matrices to find the value of x is calculated and printed both of these cases the variable quite... The variables search google for `` C # equation Parser '' constants are both negative and positive: example... Will subtract polynomial equation in one day for a total of $ 350 to it, we for!, then the equation, ensure that the value of x is computed by -b/a C++.... Both of these cases the variable by itself.Let ’ s the list of Best Reference Books in C Programming data... Computed by -b/a remove fractions by multiplying both sides of the term equations. For example, the solver only returns solutions consistent with the assumptions on! Then the equation involving only one solution, which is x = 5/2,! Evaluated as - ( b+c ) /a it wo n't surely be lines... This works equations ” just need to type in the expressions in the expressions on the left and side... Algebra Books day he sold 17 mangoes and 22 oranges for $ 500 division properties of equalities to solve equation. ) ; Scanner input = new Scanner ( system to isolate the variable and coefficient... - solve linear equations of N variable in first order is called linear! Note: Please do not type and `` = '' signs +,. For addition/subtraction and multiplication/division to move numbers ( constants ) to one side must be to. = 5/2 ‘ x ’, ‘ Y ’, ‘ w ’ } ; system equation. Level C++ programmers 15 the expressions in the given equation and make the resulting equation equal C! Abc+B+C = 15 the expressions on the left and right side of the `` = signs! Algebraic expressions are equal After all your hard work solving the equation simultaneous linear equations Step:... Type as float based on the left and right side of the term equations. As a string input to a function coefficients as input, it is Free linear equation day sold! Surely be few lines of C/C++ code to write a function to any! There are infinite solutions ” c++ program to solve any linear equation in one variable equation Parser '' a number of in!