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(39625)   (Show Source): You can put this solution on YOUR website!
Use the previous question as example of what to do.
Answer by ikleyn(52855)   (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.



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