What is the Substitution Method?
Solving a linear equation means finding the solution to the given linear equation. There are mainly two methods for solving simultaneous linear equations: the graphical method and the algebraic method. The substitution method is one of the algebraic methods to solve a system of linear equations with two variables. As the name implies, in the substitution method, the value of a variable from one equation is substituted into the second equation. Thus, a pair of linear equations gets transformed into one linear equation with just one variable, which can then be solved with ease. For example, we have to find the value of the x-variable in terms of the y-variable from the first equation and then substitute the value of the x-variable in the second equation. Thus, we can solve and find the value of the y-variable. Finally, we can substitute the value of y in any of the given equations to find x. We can also interchange this process, where we first solve for x and then solve for y.
Solve the Linear Equation using Substitution Method
Solving Linear Equation using the Substitution Method: The equation in which the highest power of the variable is always 1 is called a linear equation (or) the first-order equation. A linear equation’s graph will always be a straight line. When the equation has only one variable and the highest degree is 1, then it is called a linear equation in one variable.
Some of the examples of linear equations are 3x+4= 0, 2y = 8, m + n = 5, 4a – 3b + c = 7, x/2 = 8, etc. There are mainly two methods for solving simultaneous linear equations: the graphical method and the algebraic method. The algebraic method is further classified into three types, namely:
- Substitution method
- Elimination method
- Cross-multiplication method
In this article, we will learn to solve the linear equation using the substitution method.
Table of Content
- What is the Substitution Method?
- Steps to solve a System of Equations by Substitution Method
- Difference between Substitution Method and Elimination Method
- Solving Linear Equation using Substitution Method – Examples
- Practice Problems – Solve the Linear Equation using Substitution Method