SOLUTION: 2x+y=5 2x+y=1

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Question 547475: 2x+y=5 2x+y=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:
system%282x%2By=5%2C2x%2By=1%29


-1%282x%2By%29=-1%281%29 Multiply the both sides of the second equation by -1.


-2x-1y=-1 Distribute and multiply.


So we have the new system of equations:
system%282x%2By=5%2C-2x-1y=-1%29


Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:


%282x%2By%29%2B%28-2x-1y%29=%285%29%2B%28-1%29


%282x%2B-2x%29%2B%281y%2B-1y%29=5%2B-1 Group like terms.


0x%2B0y=4 Combine like terms.


0=4Simplify.


Since 0=4 is never true, this means that there are no solutions.

So the system is inconsistent.