Solve using each linear combination

5x + 2y = -4
-3x +2y = 12

a. (-2,3)
b. (0,-2)
c. (2,-7)
d. (4,0)

This question requires that you identify the point of intersection between the two line equations on a common plane. In order to solve, you can either substitute or eliminate. In this case, since neither equation is in the form of x= or y=, we will use elimination. I would suggest eliminating y, since it has the same value in both equations:
(5x + 2y) - (-3x + 2y) = 8x
-4 - 12 = -16
8x = -16
x = -2
Now that we have identified the x value that the equations intersect at, we must find the y value by plugging the found x value into either equation. In this case, I'll use the first equation, but it doesn't really matter:
5(-2) + 2y = -4
-10 + 2y = -4
2y = 6
y = 3
Now we have both the x and y value, and therefore the
(-2, 3).
The answer is A. Hope this helps!

Oh i'm sorry. didn't see the options