**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**

Use the substitution method to solve the linear system.

5x+ 3y= 26

x- 3y= 4

Choices:

A.

B.

C.

D.

Correct Answer: A

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 .

**Related Terms for Substitution Method **

- System of Equations
- Variable
- Equation