SOLUTION: (v-1)/(v+3) = (v+3)/v v=?

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Question 148129: (v-1)/(v+3) = (v+3)/v
v=?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28v-1%29%2F%28v%2B3%29=%28v%2B3%29%2F%28v%29 Start with the given expression


%28v-1%29%28v%29=%28v%2B3%29%28v%2B3%29 Cross multiply


v%5E2-v=%28v%2B3%29%28v%2B3%29 Distribute


v%5E2-v=v%5E2%2B6v%2B9 Foil


0=v%5E2%2B6v%2B9%2Bv-v%5E2 Add v to both sides. Subtract v%5E2 from both sides.


0=7v%2B9 Combine like terms.


-9=7v Subtract 9 from both sides.


-9%2F7=v Divide both sides by 7.


So the answer is v=-9%2F7