# How do you solve -10x - 2y = 56 and 6x - 2y = -40 ?

Jun 17, 2018

Eliminate one variable between the two equations

#### Explanation:

Subtract second equation from the first:
$\left(- 10 x - 2 y\right) - \left(6 x - 2 y\right) = 56 - \left(- 40\right)$
$- 16 x = 96$
$x = - 6$

Substitute this into the second equation:
$6 \left(- 6\right) - 2 y = - 40$
$- 36 - 2 y = - 40$
$- 2 y = - 4$
$y = 2$

So $\left(x , y\right) = \left(- 6 , 2\right)$.