# How do you solve -6x + 2y = -44 and -10x + 2y = -60 ?

Apr 15, 2018

$x = 4$
$y = - 10$

#### Explanation:

$- 6 x + 2 y = - 44$
$- 10 x + 2 y = - 60$

We multiply the first one by (-1) and add it to the second one, so we can use the elimination method.

$6 x - 2 y = 44$
$- 10 x \textcolor{red}{\cancel{\textcolor{b l a c k}{+ 2 y}}} + 6 x \textcolor{red}{\cancel{\textcolor{b l a c k}{- 2 y}}} = - 60 + 44$

$6 x - 2 y = 44$
$- 4 x = - 16$

$6 x - 2 y = 44$
$x = 4$

$6 \cdot 4 - 2 y = 44$
$x = 4$

$24 - 2 y = 44$
$x = 4$

$- 2 y = 44 - 24$
$x = 4$

$- 2 y = 20$
$x = 4$

$y = - 10$
$x = 4$