# How do you solve #–4x + 7y = –10# and #x – 5y = 9# using substitution?

##### 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:

Using the second equation, we determine a value for

Add

In the first equation, substitute

Open the brackets and simplify. The product of a negative and a positive is a negative.

Add

Divide both sides by

In the second equation, substitute

Open the brackets and simplify. The product of two negatives is a positive.

Subtract