The point (0,-2) is a solution to which system of equations?
A. -x+y=2
-x+2y=16
B. -4x+y=6
-5x-y=21
To determine which system of equations the point (0,-2) is a solution to, we can substitute the x and y values into each system of equations and see which one is true.
A.
-x + y = 2
-(0) + (-2) = 2
-2 = 2 (this equation is not true)
-x + 2y = 16
-(0) + 2(-2) = 16
-4 = 16 (this equation is not true)
Since the point (0,-2) does not satisfy either equation in system A, it is not a solution to system A.
B.
-4x + y = 6
-4(0) + (-2) = 6
-2 = 6 (this equation is not true)
-5x - y = 21
-5(0) - (-2) = 21
2 = 21 (this equation is not true)
Since the point (0,-2) does not satisfy either equation in system B, it is not a solution to system B.
Therefore, the point (0,-2) is not a solution to either system of equations.