# How do you solve 3x - y = -6 and x + y = 2?

##### 1 Answer

Sep 6, 2015

#### Answer:

x = - 1

y = 3

#### Explanation:

3x - y + - 6 ------------------(1)

x + y = 2 ---------------------(2)

Solve equation (2) for y

y = 2 - x

Substitute y = 2 - x in the equation (2)

3x - (2 - x) = - 6

3x - 2 +x = - 6

4x = - 6 + 2

x = - 1

Substitute x = - 1 in equation (1)

- 1 + y = 2

y = 2 + 1

y = 3