SOLUTION: what is the system of linear equations {4x+y=7 {x-2y=13 i am at a loss...

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Question 216318: what is the system of linear equations {4x+y=7
{x-2y=13
i am at a loss...

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++++4%5Cx+%2B+1%5Cy+=+7%2C%0D%0A++++1%5Cx+%2B+-2%5Cy+=+13+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
4%2Ax+=+7+-+1%2Ay, or x+=+7%2F4+-+1%2Ay%2F4. Substitute that
into another equation:
1%2A%287%2F4+-+1%2Ay%2F4%29+%2B+-2%5Cy+=+13 and simplify: So, we know that y=-5. Since x+=+7%2F4+-+1%2Ay%2F4, x=3.

Answer: system%28+x=3%2C+y=-5+%29.