SOLUTION: 1/c=1/a+1/b, solve for b Thank you

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Question 1036251: 1/c=1/a+1/b, solve for b
Thank you
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Perform inverse operations one at a time on both sides of the equation, to undo everything that was done to b.

What if I skip the steps here, and just tell you that b=%28ac%29%2F%28a-c%29. Can you fillin a sequence of steps to meet that solution for b?



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Good!

L.C.D. is abc.
abc%281%2Fc%29=%28abc%29%281%2Fa%29%2B%28abc%29%281%2Fb%29
ab=bc%2Bac
ab-bc=ac
b%28a-c%29=ac
b=%28ac%29%2F%28a-c%29