SOLUTION: Solve by the elimination method 4x-8y=1 4x-8y=2

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Question 146405: Solve by the elimination method
4x-8y=1
4x-8y=2
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!


Start with the given system of equations:

system%284x-8y=1%2C4x-8y=2%29



4x-8y=1
-1%284x-8y%29=-1%282%29 Multiply the bottom equation (both sides) by -1




Distribute and multiply

4x-8y=1
-4x%2B8y=-2


Now add the equations together. In order to add 2 equations, group like terms and combine them

%284x-4x%29%2B%28-8y%2B8y%29=1-2

Combine like terms and simplify



cross%284x-4x%29%2B0y=-1 Notice how the x terms cancel out



0=-1 Simplify


Since this equation is never true regardless of what x or y is, there are no solutions. So this system is inconsistent.