SOLUTION: Please assist me in this substution problem & please include the check at the end. 5x-3y=65 x=-2y Thank You! Steve

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Question 312836: Please assist me in this substution problem & please include the check at the end. 5x-3y=65
x=-2y
Thank You!
Steve
Found 2 solutions by ichudov, rfer:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++5%5Cx+%2B+-3%5Cy+=+65%2C%0D%0A++++1%5Cx+%2B+2%5Cy+=+0+%29%0D%0A++We'll use substitution. After moving -3*y to the right, we get:
5%2Ax+=+65+-+-3%2Ay, or x+=+65%2F5+-+-3%2Ay%2F5. Substitute that
into another equation:
1%2A%2865%2F5+-+-3%2Ay%2F5%29+%2B+2%5Cy+=+0 and simplify: So, we know that y=-5. Since x+=+65%2F5+-+-3%2Ay%2F5, x=10.

Answer: system%28+x=10%2C+y=-5+%29.

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
5(-2y)-3y=65
-10y-3y=65
-13y=65
y=-5
-------------
x=-2(-5)
x=10
-------------
proof
5(10)-3(-5)=65
50+15=65