# How do you solve the following system: x +4y = 16, 2x – 4y = 8?

Apr 21, 2018

$x = - 24$

$y = 10$

#### Explanation:

$x + 4 y = 16$

$2 x - 4 y = 8$

Subtract the bottom equation from the top one so the $+ 4 y$ and $- 4 y$ cancel each other out.

$- x = 24$

$x = - 24$

$x + 4 y = 16$

$- 24 + 4 y = 16$

$4 y = 40$

$y = 10$