Question

Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20

Answer 1

It is a solution, one of an infinite number of solutions.

Explanation:

You can check to see if the given point is in the solution set:

4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

The offered point satisfies both inequalities, so is in the solution set. It is not the solution, but is one of an infinite number of solutions.