SOLUTION: This is a question from a Chapter Review, my teacher gave me. It is not from a book. 1/a + 1/b = c solve for b I don't know how to do it because once a bring the "b" to the o

Algebra ->  Equations -> SOLUTION: This is a question from a Chapter Review, my teacher gave me. It is not from a book. 1/a + 1/b = c solve for b I don't know how to do it because once a bring the "b" to the o      Log On


   

Question 212818: This is a question from a Chapter Review, my teacher gave me. It is not from a book.
1/a + 1/b = c solve for b
I don't know how to do it because once a bring the "b" to the other side what do I do with the "c". I am lost.
Thank you.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for b:
%281%2Fa%29%2B%281%2Fb%29+=+c Subtract 1%2Fa from both sides.
1%2Fb+=+c-%281%2Fa%29 Simplify the right side by multiplying the c by a%2Fa.
1%2Fb+=+%28a%2Fa%29c+-+1%2Fa Simplify the right side.
1%2Fb+=+%28ac-1%29%2Fa Now invert both sides.
b+=+a%2F%28ac-1%29