# How do I use elimination to find the solution of the system of equations y=−2x+4 and y=−2x−3?

Jul 9, 2015

You subtract one equation from the other.

#### Explanation:

(1) $y = - 2 x + 4$
(2) y = -2x – 3
(3) $\overline{0 = 0 + 7 = 7}$

This is an impossible result. There is no solution to this system of equations.

We could predict this because each equation has the same slope : $m = - 2$.

The two graphs are parallel and will never intersect.