﻿ Definition and examples of substitution method | define substitution method - Free Math Dictionary Online

# Substitution Method

## Definition of Substitution Method

Substitution method is a method of solving a system of equations wherein one of the equations is solved for one variable in terms of the other variables.

### Solved Example on Substitution Method

#### Ques: Use the substitution method to solve the linear system.

Use the substitution method to solve the linear system.
5x + 3y = 26
x - 3y = 4

### Solution:

Step 1: 5x + 3y = 26 [Equation 1.]
Step 2: x - 3y = 4 [Equation 2.]
Step 3: x = 3y + 4 [Rearrange equation 2.]
Step 4: 5(3y + 4) + 3y = 26 [Substitute the values.]
Step 5: 18y + 20 = 26 [Group the like terms.]
Step 6: 18y = 6 [Subtracting 20 from the two sides of the equation.]
Step 7: [Divide throughout by 18.]
Step 8: [Substitute the values.]
Step 9: x = 5 [Simplify.]
Step 10: The solution for the linear system is .

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