SOLUTION: x=1-y y=2x-2 Please show me how to solve this problem. I keep getting stuck at x=1-(2x-2), and can't figure out where to go from here.Thank's for your help.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: x=1-y y=2x-2 Please show me how to solve this problem. I keep getting stuck at x=1-(2x-2), and can't figure out where to go from here.Thank's for your help.      Log On


   

Question 124840: x=1-y
y=2x-2
Please show me how to solve this problem. I keep getting stuck at x=1-(2x-2), and can't figure out where to go from here.Thank's for your help.
Answer by iluvbuilding429(41) About Me  (Show Source):
You can put this solution on YOUR website!
x=1-y
y=2x-2
Please show me how to solve this problem. I keep getting stuck at x=1-(2x-2), and can't figure out where to go from here.Thank's for your help.


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

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