# How do you solve the system of equations -2x + 2y = 6 and 4x - 4y = 16?

Mar 29, 2018

You can't. They are parallel to each other.

#### Explanation:

Divide both sides of $4 x - 4 y = 16$ by two to get

$2 x - 2 y = 8$

So now

$- 2 x + 2 y = 6 \implies 2 y = 2 x + 6 \implies y = x + 3$

and

$2 x - 2 y = 8 \implies - 2 y = - 2 x + 8 \implies y = x - 4$

As both lines have the same slope, they are parallel and will never intersect.