SOLUTION: Solve the system by substitution. 3x - 3y = -12 y = -3x-12

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Question 110768: Solve the system by substitution.
3x - 3y = -12
y = -3x-12

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 36 from both sides


Combine like terms on the right side


Divide both sides by 12 to isolate x



Divide




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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