# How do you solve the following system?: #-x -4y =31, x -y = -42#

##### 2 Answers

See the entire solution process below:

#### Explanation:

Step 1) Solve the second equation for

Step 2) Substitute

Step 3) Substitute

The solution is:

#### Explanation:

This system of equations is a perfect scenario for eliminating

the

Additive inverses give 0 when added together.

Substitute

NOte that in this case the solutions are easier to work with as mixed numbers rather than as improper fractions which tend to involve large numbers.