SOLUTION: Solve the system of equations: {{{system(x+2y=8, x=9-2y)}}}

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Question 319057: Solve the system of equations:
system%28x%2B2y=8%2C%0D%0Ax=9-2y%29
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations:
system%28x%2B2y=8%2C%0D%0Ax=9-2y%29

Substitute %289-2y%29 for x in

x%2B2y=8

%289-2y%29%2B2y=8

9-2y%2B2y=8

9-cross%282y%29%2Bcross%282y%29=8

9=8

That's a false numerical equation, so the
system is inconsistent.  So if you graph both
equations by plotting points, you get these two 
parallel lines below, which will never intersect 
and so there is no common solution to both 
equations:



Edwin