SOLUTION: x=3y+1 2x-4y=-2

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Question 120615: x=3y+1
2x-4y=-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
2x-4y=-2
x=3y%2B1



2%283y%2B1%29-4y=-2 Plug in x=3y%2B1 into the first equation. In other words, replace each x with 3y%2B1. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


6y%2B2-4y=-2 Distribute


2y%2B2=-2 Combine like terms on the left side


2y=-2-2Subtract 2 from both sides


2y=-4 Combine like terms on the right side


y=%28-4%29%2F%282%29 Divide both sides by 2 to isolate y



y=-2 Divide




Now that we know that y=-2, we can plug this into x=3y%2B1 to find x



x=3%28-2%29%2B1 Substitute -2 for each y


x=-5 Simplify


So our answer is x=-5 and y=-2 which also looks like