# How do you solve the system of equations (4x-2y=12 and 3x+2y=2 by elimination?

Apr 11, 2018

$x = 2$, $y = - 2$

#### Explanation:

From second equation, $2 y = 2 - 3 x$. Hence,

$4 x - \left(2 - 3 x\right) = 12$

$4 x + 3 x - 2 = 12$

$7 x - 2 = 12$

$7 x = 14$, so $x = 2$

Thus,

$2 y = 2 - 3 \cdot 2 = - 4$ or $y = - 2$