# How do you solve the following system: #5x-9y=-2, 7x-2y= -67 #?

##### 1 Answer

#### Explanation:

Given

[1]

[2]

Convert to equivalent equations with the same coefficient for

by multiplying [1] by

and multiplying [2] by

[3]

[4]

Subtract [3] from [4] to eliminate the

[5]

Divide both sides of [5] by

[6]

We could substitute

or repeat a similar process to the one above to eliminate the

Multiply [1] by

[7]

[8]

Subtract [7] from [8]

[9]

Divide both sides of [9} by

[10]