SOLUTION: hello may someone help me with this pronblem? Solve the following system of equations using any method: x - 2y = 5 3x - 5y = 8.

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Question 151560: hello may someone help me with this pronblem?
Solve the following system of equations using any method:
x - 2y = 5
3x - 5y = 8.



Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x-2y+=+5 Rewrite this as: x+=+2y%2B5 and substitute into the second equation.
3x-5y+=+8
3%282y%2B5%29-5y+=+8 Simplify.
6y%2B15-5y+=+8 Combine like-terms.
y%2B15+=+8 Subtract 15 from both sides.
y+=+-7 Now substitute this into the rewritten first equation to solve for x.
x+=+2y%2B5
x+=+2%28-7%29%2B5
x+=+-14%2B5
x+=+-9
The solution is: (-9, -7)
Let's check by graphing the two equations to see where the line intercsect.
graph%28400%2C400%2C-10%2C2%2C-8%2C2%2C%281%2F2%29x-5%2F2%2C%283%2F5%29x-8%2F5%29