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

Algebra ->  Coordinate Systems and Linear Equations -> 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      Log On


   

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

Start with the given system of equations:
system%284x%2By=16%2C4x%2By=12%29


-1%284x%2By%29=-1%2816%29 Multiply the both sides of the first equation by -1.


-4x-y=-16 Distribute and multiply.


So we have the new system of equations:
system%28-4x-1y=-16%2C4x%2By=12%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:


%28-4x-y%29%2B%284x%2By%29=%28-16%29%2B%2812%29


%28-4x%2B4x%29%2B%28-y%2By%29=-16%2B12 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.