the point (0, -2) is a solution to which system of equations?

1 answer

Since the point (0, -2) is a solution to a system of equations, we can plug in the values x = 0 and y = -2 into each equation to see which one(s) hold true.

One possible system of equations that the point (0, -2) satisfies is:

1) x + y = -2
2) x - y = 2

Plugging in x = 0 and y = -2 into the first equation:
0 + (-2) = -2
-2 = -2 (true)

Plugging in x = 0 and y = -2 into the second equation:
0 - (-2) = 2
2 = 2 (true)

Since both equations hold true when x = 0 and y = -2, the point (0, -2) is a solution to the system of equations:
1) x + y = -2
2) x - y = 2