SOLUTION: Hi, if a does not equal b, and 1/x +1/a = 1/b, then x= I have tried 1/x=1/b-1/a ..thankyou

Algebra ->  Equations -> SOLUTION: Hi, if a does not equal b, and 1/x +1/a = 1/b, then x= I have tried 1/x=1/b-1/a ..thankyou      Log On


   

Question 165590: Hi, if a does not equal b, and 1/x +1/a = 1/b, then x=
I have tried 1/x=1/b-1/a
..thankyou
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If:
%281%2Fx%29%2B%281%2Fa%29+=+1%2Fb a%3C%3E0 Find x:
%281%2Fx%29%2B%281%2Fa%29+=+1%2Fb Subtract 1%2Fa from both sides.
1%2Fx+=+%281%2Fb%29-%281%2Fa%29 Subtract the fractions on the right side and simplify, LCD is ab
1%2Fx+=+%28a-b%29%2F%28ab%29 Multiply both sides by x.
1+=+x%28a-b%29%2F%28ab%29 Multiply both sides by ab
ab+=+x%28a-b%29 Finally, divide both sides by %28a-b%29
ab%2F%28%28a-b%29%29+=+x or highlight%28x+=+ab%2F%28%28a-b%29%29%29