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It helps to set these up vertically.

5x +5y = -13

7x - 3y = 17

Now, I can see that it will be easiest to cancel my y's, I just need to modify the equations so that the coefficient is the same in both equations. I will multiply the top equation by 3 and the bottom equation by 5 to get,

15x + 15y = -39

35x - 15y = 85; Now, add the 2 equations and the y's will cancel.

50x = 46; x = 0.92

Plugging x back into any equation, perhaps the top one, will give

4.6 + 5y = -13

5y = -17.6

y = -3.52

ANS: (0.92,-3.52)

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Q: Solve the system by the elimination method 5x plus 5y equals -13 7x-3y equals 17?
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