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)   (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:



Multiply the both sides of the second equation by -2.


Distribute and multiply.


So we have the new system of equations:



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





Group like terms.


Combine like terms.


Simplify.


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

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