B
If you plug both points into the equation, neither of the equations come out true.
Let's try plugging (-2,6) into the equations:
-2 is x, and 6 is y
y = x + 8
6 = -2 + 8
6 = 6
The points worked when plugged into this equation, but if it doesn't work on the next one, the pair won't work as the solution. Let's try this on the next equation.
2y = x2 + 8
2(6) = -2(2) + 8
12 = -4 + 8
12 = 4
This is not a true statement. This means that the point, (-2, 6) is not a solution to the system.
Now, let's try (4,12)
y = x + 8
12 = 4 + 8
12 = 12
This is a true statement, but we have to try the other equation as well.
2y = x2 + 8
2(12) = 4(2) + 8
24 = 8 + 8
24 = 16
This is not a true statement, therefore, the pair, (4, 12) will not work.
Neither pairs worked, so no, (-2, 6) or (4, 12) are not the solutions to the equation.
