# SOLVING LINEAR SYSTEMS BY SUBSTITUTION METHOD

The following steps will be useful to solve a system of linear equations by substitution method.

Step 1 :

In the given two equations, solve one of the equations either for x or y.

Step 2 :

Substitute the result of step 1 into other equation and solve for the second variable.

Step 3 :

Using the result of step 2 and step 1, solve for the first variable.

## Solved Problems

Solve each of the following systems of linear equations by substitution method.

Problem 1 :

y = 3x

5x + y = 24

Solution :

Problem 2 :

y = 5 - 2x

5x - 6y = 21

Solution :

Problem 3 :

y = 2x + 5

3x - y = 4

Solution :

Problem 4 :

x = 8 + 3y

2x - 5y = 8

Solution :

Problem 5 :

3x + 2y = 71

y = 4 + 2x

Solution :

Problem 6 :

4x - 5y = 92

x = 7y

Solution :

Problem 7 :

y = 3x + 8

x = y

Solution :

Problem 8 :

8x + 3y = 26

2x = y - 4

Solution :

Problem 9 :

x - 7y = 13

3x - 5y = 23

Solution :

Problem 10 :

3x + y = 19

2x - 5y = -10

Solution :

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