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

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Answer 1 · 2015-07-09T21:07:48

You subtract one equation from the other.

(1) $y = - 2 x + 4$ $y = -2x+4$
(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.

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