SOLUTION: What is the soulution of this system. {{{x + 2y = 13}}} {{{3x - 5y = 6}}}

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Question 68635: What is the soulution of this system.
x+%2B+2y+=+13
3x+-+5y+=+6
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+2y+=+13
3x+-+5y+=+6
Here are the Steps using Substition method
1. In either equation, solve for one variable in terms of the other. Solve x in terms of y.
x+%2B+2y+=+13
x = -2y + 13


2. Substitute for that variable in the other equation. Solve for y.
3x+-+5y+=+6
3(-2y +13) - 5y = 6
3(-2y) + 3(13) - 5y = 6
-6y + 39 - 5y = 6
-11y = -33
highlight+%28y+=+3%29


3. Substitute the result from step 2 in either equation. Solve for the other variable.
x+%2B+2y+=+13, y = 3
x + 2(3) = 13
x + 6 = 13
highlight+%28x+=+7%29


4. Check the solution in both original equations.
x+%2B+2y+=+13, y = 3, x = 7
7 + 2(3) = 13
7 + 6 = 13 ------------>> True


3x+-+5y+=+6, y = 3, x = 7
3(7) - 5(3) = 6
21 - 15 = 6
6 = 6 ------------>> True