Answer:
(-2, -4) is a solution
(0, -6) is not a solution
Step-by-step explanation:
The system of equations is
x + y = -6
3x - y = -2
An ordered pair is a solution of the system if the ordered pair (x, y) satisfied both equations.
For (x, y) = (-2, -4), we get:
x + y = -6
-2 + (-4) = -6
-6 = -6
3x - y = -2
3(-2) - (-4) = -2
-6 + 4 = -2
-2 = -2
Since both equations are satisfied (-2, -4) is a solution to the given system.
For (x, y) = (0, -6), we get:
x + y = -6
0 + (-6) = -6
-6 = -6
3x - y = -2
3(0) - (-6) = -2
0 + 6 = -2
6 = -2
Since 6 is not equal to -2, the ordered pair (0, -6) is not a solution to the system.