SOLUTION: If y=a/a+b and x=a/b, what is y in terms of x?

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Question 325464: If y=a/a+b and x=a/b, what is y in terms of x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x=a%2Fb Start with the second equation.


bx=a Multiply both sides by 'b'.


So a=bx


y=a%2F%28a%2Bb%29 Move back to the first equation.


y=%28bx%29%2F%28bx%2Bb%29 Plug in a=bx


y=%28bx%29%2F%28b%28x%2B1%29%29 Factor out the GCF 'b' from the denominator.


y=%28cross%28b%29%2Ax%29%2F%28cross%28b%29%28x%2B1%29%29 Cancel out the common terms.


y=x%2F%28x%2B1%29 Simplify.


So the answer is y=x%2F%28x%2B1%29