SOLUTION: Hello, I am trying to get this algebra down, and right now it is still not clicking. I am having trouble with solving by elimination. 5x + 5y = -13 7x

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Question 148147: Hello, I am trying to get this algebra down, and right now it is still not clicking. I am having trouble with solving by elimination.
5x + 5y = -13
7x - 2y = 19
Thank you so much for any help you can offer.
Paula
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
I am having trouble with solving by elimination.
5x + 5y = -13
7x - 2y = 19
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Multiply thru 1st equation by 2 ; Multiply thru 2nd by 5.
10x + 10y = -26
35x - 10y = 95
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By add the two equation you can eliminate the y-terms:
45x = 69
x = 23/15
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Substitute that value of x into one or other of the original equations
to solve for "y":
5(23/15) + 5y = -13
23/3 + 5y = -13
23/3 + 5y = -39/3
5y = -62/3
y = -62/15
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Check the answer in the other original equation (7x - 2y = 19) :
7(23/15) -2(-62/15) = 19
161/15 + 124/15 = 19
285/15 = 19
19 = 19
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Cheers,
Stan H.

SOLUTION: Hello, I am trying to get this algebra down, and right now it is still not clicking. I am having trouble with solving by elimination. 5x + 5y = -13 7x - 2y = 19 Thank you so