SOLUTION: 8x+2y=13 4x+y=11

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Question 179034This question is from textbook glencoe mathematics
: 8x+2y=13
4x+y=11 This question is from textbook glencoe mathematics

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%288x%2B2y=13%2C4x%2By=11%29


-2%284x%2By%29=-2%2811%29 Multiply the both sides of the second equation by -2.


-8x-2y=-22 Distribute and multiply.


So we have the new system of equations:
system%288x%2B2y=13%2C-8x-2y=-22%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:


%288x%2B2y%29%2B%28-8x-2y%29=%2813%29%2B%28-22%29


%288x%2B-8x%29%2B%282y%2B-2y%29=13%2B-22 Group like terms.


0x%2B0y=-9 Combine like terms.


0=-9Simplify.


Since 0=-9 is never true, this means that there are no solutions. So the system is inconsistent.