# How do you solve 3x +2y = 6 and x + 4y = -8?

Aug 9, 2015

(x,y)=(4-3)

#### Explanation:

Subtract 3 times the second equation from the first:
$3 x + 2 y - 3 \left(x + 4 y\right) = 6 - 3 \left(- 8\right)$

=>

$- 10 y = 30 \implies y = - 3$

Plug this value into the first equation to get:
$3 x + 2 y = 3 x - 6 = 6 \implies x = 4$