SOLUTION: 2y-3x=12 y+1=5x What is the solution to this using substitution? Also, what is the answer in an x,y point?

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Question 960591: 2y-3x=12
y+1=5x
What is the solution to this using substitution? Also, what is the answer in an x,y point?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2y-3x=12
y%2B1=5x
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-3x%2B2y=12
-5x%2By=-1
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-3%5Cx+%2B+2%5Cy+=+12%2C%0D%0A++++-5%5Cx+%2B+1%5Cy+=+-1+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
-3%2Ax+=+12+-+2%2Ay, or x+=+12%2F-3+-+2%2Ay%2F-3. Substitute that
into another equation:
-5%2A%2812%2F-3+-+2%2Ay%2F-3%29+%2B+1%5Cy+=+-1 and simplify: So, we know that y=9. Since x+=+12%2F-3+-+2%2Ay%2F-3, x=2.

Answer: system%28+x=2%2C+y=9+%29.


(x,y) point is (2,9)

+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+5x-1%2C%283%2F2%29x%2B6%29+