# How do you solve 4x - 3y = 22  and 4x + 5y = 6?

Feb 16, 2017

$y = - 2$

$x = 4$

#### Explanation:

Set it out in a column like so:

$4 x - 3 y = 22$
$4 x + 5 y = 6$

Then subtract the second equation from the first one to get:

$- 8 y = 16$

which can be simplified to

$- y = 2 \text{ }$ or $\text{ } y = - 2$

This, in turn, can be used to work out the $x$ value:

$4 x - 10 = 6$

$4 x = 16$

$x = 4$

Hopefully this helps...