SOLUTION: Hello, Please help solve 2x-5y=-3 y=-4x+1 Thank you

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Question 124559: Hello,
Please help solve
2x-5y=-3
y=-4x+1
Thank you

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


Add 5 to both sides


Combine like terms on the right side


Divide both sides by 22 to isolate x



Reduce




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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