The point (0,-2) is a solution to which system of equations? (2 points) Responses -x+y=2 -x+2y=16 -x+y=2 -x+2y=16 -4x+y=6 -5x-y=21 -4x+y=6 -5x-y=21 -5x=y-3 3x-8y=24 -5x=y-3 3x-8y=24 -5x+y=-2 -3x+6y=-12

Answer 1

The point (0, -2) is a solution to the system of equations:

-x + y = 2
-5x + y = -2

You have the first equation (-x + y = 2) that simplifies to y = x + 2. Substituting this into the second equation, you get:

-5x + (x + 2) = -2
-4x + 2 = -2
-4x = -4
x = 1

Substitute x = 1 into the first equation:

-y = 1
y = -1

Therefore, the point (1, -1) is a solution to the system of equations.