# How do you solve the following linear system: 2x-y=2, 6x-y= -2 ?

Dec 30, 2015

By substitution $x = - 1 , y = - 4$

#### Explanation:

Rearrange one of the expressions to get y on its own on the LHS, then substitute in the other equation.
$y = 2 x - 2$
Then $6 x - \left(2 x - 2\right) = - 2$
4x = -4 x=-1#

Then $y = 2 \left(- 1\right) - 2 = - 4$