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

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Question 120615: x=3y+1
2x-4y=-2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given system





Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.


Distribute


Combine like terms on the left side


Subtract 2 from both sides


Combine like terms on the right side


Divide both sides by 2 to isolate y



Divide




Now that we know that , we can plug this into to find



Substitute for each


Simplify


So our answer is and which also looks like


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