# How do you solve the following linear system: 2x + y = -4, y = -3x + 2, ?

Apr 22, 2018

$x = 6$
$y = - 16$

#### Explanation:

Given -

$2 x + y = - 4$ ---------------- (1)
$y = - 3 x + 2$ ---------------(2)

Substitute $y = - 3 x + 2$ in equation (1)

$2 x + \left(- 3 x + 2\right) = - 4$

$2 x - 3 x = 2 = - 4$

$- x = - 4 - 2 = - 6$

$x = 6$

Substitute $x = 6$ in equation (2)

$y = - 3 \left(6\right) + 2 = - 18 + 2 = - 16$

$y = - 16$