SOLUTION: What is the solution to x=1/2y+3 and 2x-y=6?

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Question 861227: What is the solution to x=1/2y+3 and 2x-y=6?
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
x-1%2F2%2Ay=3, 2x-y=6
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+-0.5%5Cy+=+3%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+6+%29%0D%0A++We'll use substitution. After moving -0.5*y to the right, we get:
1%2Ax+=+3+-+-0.5%2Ay, or x+=+3%2F1+-+-0.5%2Ay%2F1. Substitute that
into another equation:
2%2A%283%2F1+-+-0.5%2Ay%2F1%29+%2B+-1%5Cy+=+6 and simplify: So, we know that y=0=0. Since x+=+3%2F1+-+-0.5%2Ay%2F1, x=3.

Answer: system%28+x=3%2C+y=0=0+%29.