SOLUTION: Solve the linear system: x+2y= 1 -x+y= -1

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Question 38555: Solve the linear system: x+2y= 1

-x+y= -1
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
Here's two ways to solve your problem:
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+2%5Cy+=+1%2C%0D%0A++++-1%5Cx+%2B+1%5Cy+=+-1+%29%0D%0A++

Any system of equations:


has solution

or



(x=1, y=0}

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+2%5Cy+=+1%2C%0D%0A++++-1%5Cx+%2B+1%5Cy+=+-1+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
1%2Ax+=+1+-+2%2Ay, or x+=+1%2F1+-+2%2Ay%2F1. Substitute that
into another equation:
-1%2A%281%2F1+-+2%2Ay%2F1%29+%2B+1%5Cy+=+-1 and simplify: So, we know that y=0. Since x+=+1%2F1+-+2%2Ay%2F1, x=1.

Answer: system%28+x=1%2C+y=0+%29.


Hope this helps and feel free to contact me with further questions,
lyra