Practice Problems – Solve the Linear Equation using Substitution Method
1. Given the system of equations y = 2x + 3, x + y = 8. how would you use the substitution method to find the values of x and y?
2. Solve for x and y using the substitution method: 3x – y = 2 and y = 3x – 4.
3. If y = 5x – 7 and 2x + 3y = 6, use the substitution method to determine the values of x and y.
4. For the equations x = 4y + 1 and 2x – 3y = 12, explain how to find x and y using the substitution method.
5. How would you solve the following system using the substitution method: x – 2y = -1 and 3x + 2y = 22.
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