SOLUTION: Iam having a problem with a substitution method problem it's 2x-y=5 -x+3y=5

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Question 684062: Iam having a problem with a substitution method problem it's 2x-y=5
-x+3y=5

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
2x - y = 5
-x + 3y = 5
...
Choose one equation to solve for x or y
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-x + 3y = 5
Add x to both sides
3y = 5 + x
Subtract 5 from both sides
3y - 5 = x
...
Substitute into the first equation
2(3y-5) - y = 5
Distribute the 2
6y - 10 - y = 5
Combine like terms
5y = 5 + 10
5y = 15
Divide both sides by 5
highlight_green%28y+=+3%29
...
Substitute this value into the x equation
3(3) - 5 = 9 - 5 = highlight_green%28x=4%29
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