SOLUTION: 2y-4x=-3 y=2x+4

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Question 115281: 2y-4x=-3
y=2x+4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
2y-4x=-3
y=2x%2B4



2%282x%2B4%29-4x=-3 Plug in y=2x%2B4 into the first equation. In other words, replace each y with 2x%2B4. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


4x%2B8-4x=-3 Distribute


8=-3 Combine like terms on the left side


0=-3-8Subtract 8 from both sides


0=-11 Combine like terms on the right side


0=-11 Simplify

Since this equation is never true for any x value, this means there are no solutions.


So the system is inconsistent