SOLUTION: I need to know how to find the anwser to problems like this one. I need step by step instruction on how to solve them. 4x+y=16 4x+y=12

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Question 200526: I need to know how to find the anwser to problems like this one. I need step by step instruction on how to solve them.
4x+y=16
4x+y=12

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 first equation by -1.


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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