The point (0,-2) is a solution to which systems?
A. -4x+y=6 and -5x-y=21
B. x+y=2 and -x+2y=16
C. -5x=y-3 and 3x-8y=24
D. -5x+y=-2 and -3x+6y=-12
The correct answer is D. -5x+y=-2 and -3x+6y=-12.
To check, substitute x=0 and y=-2 into each equation of the given system:
-5(0)+(-2)=-2, which is true.
-3(0)+6(-2)=-12, which is also true.
Therefore, (0,-2) is a solution to -5x+y=-2 and -3x+6y=-12.