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

Sep 6, 2015

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
$x = \frac{- 4}{4} = - 1$
x = - 1

Substitute x = - 1 in equation (1)

• 1 + y = 2
y = 2 + 1
y = 3