is the point (0,-2) a solution to the system below?

-5x + y = -2
-3x + 6y = -12

1 answer

To determine if the point (0, -2) is a solution to the system, we substitute the values of x and y from the point into both equations and check if the equations hold true.

For the first equation, we have:

-5(0) + (-2) = -2
0 - 2 = -2
-2 = -2

The equation holds true.

For the second equation, we have:

-3(0) + 6(-2) = -12
0 - 12 = -12
-12 = -12

The equation also holds true.

Since both equations hold true when we substitute the values of x and y from the point (0, -2), we can conclude that (0, -2) is a solution to the system.