SOLUTION: Hey! Allright- Well my problem isto solve by using the Substitution method! I am having a small difficulty with it. the problem is *y=5x 2x+y=28* What I got

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Question 129933This question is from textbook algebra
: Hey! Allright- Well my problem isto solve by using the Substitution method! I am having a small difficulty with it.
the problem is *y=5x
2x+y=28*
What I got was (4,20) The problem I am having is cheaking to see if it is the right answer.
Please help me with my problem?
Please and Thank You=)
This question is from textbook algebra

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


Divide both sides by 7 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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