Question 668842: 6x-2y=-10
6x+3y=-15
Answer by amazingrace333(11)   (Show Source):
You can put this solution on YOUR website! 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
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