SOLUTION: I need help with solving this problem,please help y=3x+11 2x+3y=0

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Question 130971: I need help with solving this problem,please help
y=3x+11
2x+3y=0

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 33 from both sides


Combine like terms on the right side


Divide both sides by 11 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 which also looks like



Notice if we graph the two equations, we can see that their intersection is at . So this verifies our answer.


Graph of (red) and (green)

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