# How do you solve the system using the elimination method for -4x – 2y = -12 and 4x + 8y = -24?

Jul 3, 2018

$x = 6 , y = - 6$

#### Explanation:

Form simplifications we divide the first equation by $2$ and the second one by $4$
we get

$- 2 x - y = - 6$
$x + 2 y = - 6$
solving the first equation for $y$

$y = - 2 x + 6$

plugging this equation in the second one

$x + 2 \left(- 2 x + 6\right) = - 6$

expanding

$x - 4 x + 12 = - 6$

so $- 3 x = - 18$

$x = 6$

and for $y$ we get

$y = - 2 \cdot 6 + 6 = - 12 + 6 = - 6$