SOLUTION: Solve the system by substitution. x + y = 12 y = 2x

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Question 110798: Solve the system by substitution.
x + y = 12
y = 2x

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.



Combine like terms on the left side


Divide both sides by 3 to isolate x




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



Substitute for each


Simplify


So our answer is and

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