SOLUTION: x+2y=10 3x-y=2

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Question 105595: x+2y=10
3x-y=2
Answer by askmemath(368) 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++++1%5Cx+%2B+2%5Cy+=+10%2C%0D%0A++++3%5Cx+%2B+-1%5Cy+=+2+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
1%2Ax+=+10+-+2%2Ay, or x+=+10%2F1+-+2%2Ay%2F1. Substitute that
into another equation:
3%2A%2810%2F1+-+2%2Ay%2F1%29+%2B+-1%5Cy+=+2 and simplify: So, we know that y=4. Since x+=+10%2F1+-+2%2Ay%2F1, x=2.

Answer: system%28+x=2%2C+y=4+%29.