A system of equations is shown below.
5x + 2y = -15
2x - 2y = -6
What is the solution to the system of equations?
A
(-3,0)
B
(0,-3)
C
(-3,6)
D
(6,-3)

A.  (-3,0)

Add the two equations together so one variable is eliminated:

  5x + 2y = -15

+  2x - 2y = -6

   7x         = -21

7x = -21

Solve for x:

x = -21 ÷ 7

x = -3

Now substitute x to any of the equation to solve for y. (I'll choose the second equation):

2x - 2y = -6

2(-3) - 2y = -6

-6 - 2y = -6

-2y = -6 + 6

-2y = 0

y = 0

x = -3

y = 0

(-3,0)