SOLUTION: 3x+5y=-16 3x-2y=-2 solve by elimination

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Question 1106222: 3x+5y=-16
3x-2y=-2
solve by elimination

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39628) (Show Source):
You can put this solution on YOUR website!
Use the previous question as example of what to do.

Answer by ikleyn(52869) (Show Source):
You can put this solution on YOUR website!
.

3x + 5y = -16 (1) 3x - 2y = -2 (2) Subtract eq(2) from eq(1). The terms "3x" will cancel each other, and you will get a single equation fo only one unknown "y" 5y - (-2y) = -16 - (-2), or 7y = -14. It implies y = = -2. It is how the Elimination method works. Next, from eq(1) find x: 3x = -16 - 5y = -16 - 5*(-2) = -16 + 10 = -6, x = = -2. Answer. x = -2, y = -2.