# How do you solve this system of equation using the elimination method: 2x + 4y = 16, 2x - 4y = 0?

Jul 4, 2017

See below.

#### Explanation:

We notice that there is a $+ 4 y$ and a $- 4 y$. If we added the two equations, we would eliminate $y$.

$2 x + 4 y = 16$
$+$
$2 x - 4 y = 0$

$4 x = 16$

$x = 4$

Plugging this in,

$2 \left(4\right) + 4 y = 16$

$4 y = 8$

$y = 2$

Thus, our solution set is $\left(4 , 2\right)$