Question 668842
6x - 2y = -10
6x + 3y = -15

In this case both equations have 6x in common so, you can simplify as follows:
6x = -10 + 2y
and
6x = -15 - 3y
and then
-10 + 2y = -15 - 3y

Solve for y now:
-10 + 10 + 2y = -15 +10 - 3y
2y = -5 - 3y
2y + 3y = -5 - 3y + 3y
5y = -5
y = -1

Then solve for x using y = -1
6x = -10 + 2(-1)
6x = -10 + (-2)
6x = -12
x = -2

Check your answer:
6(-2) + 3(-1) = -12 + -3 = -15
6(-2) - 2(-1) = -12 -(-2)= -12 + 2 = -10

Therefore, x = -2 and y = -1