How to solve -5x+2y =13 and 5x+y=-1 by elimination

label Algebra
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-5x+2y=13

5x+y=-1

Nov 13th, 2014

To solve by elimination, you add or subtract the 2 equations to get rid of one of the variables.  Since one equation has a 5x term and the other has a -5x term, if we add the two questions together, we can eliminate x.

  -5x + 2y = 13

+ 5x  + y = -1

The x terms drop out and you're left with:

2y + y = 13 + -1

3y = 12

y = 4


Now, you substitute y into either one of the original equations to get x.

5x + y = -1

5x + 4 = -1

5x = -5

x = 1

Nov 13th, 2014

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