Question

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

Answer 1

You subtract one equation from the other.

Explanation:

(1) `y = -2x+4`
(2) `y = -2x – 3`
(3) `bar(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.