SOLUTION: Here is the problem: If a≠b and 1/x + 1/a = 1/b , then x= I just can't seem to isolate x. The closest I got was 1/x= b-a/ab. Could you please guide me to the isola

Algebra ->  Expressions-with-variables -> SOLUTION: Here is the problem: If a≠b and 1/x + 1/a = 1/b , then x= I just can't seem to isolate x. The closest I got was 1/x= b-a/ab. Could you please guide me to the isola      Log On


   

Question 639485: Here is the problem:
If a≠b and 1/x + 1/a = 1/b , then x=
I just can't seem to isolate x. The closest I got was 1/x= b-a/ab.
Could you please guide me to the isolation of x?
Thank you!

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Here is the problem:
If a≠b and 1/x + 1/a = 1/b , then x=
I just can't seem to isolate x. The closest I got was 1/x= b-a/ab.
Could you please guide me to the isolation of x?
Thank you!

1%2Fx+%2B+1%2Fa+=+1%2Fb

ab + bx = ax ------- Multiplying by LCD, abx to clear fractions

bx - ax = - ab

x(b - a) = - ab

x = highlight_green%28%28-+ab%29%2F%28b+-+a%29%29

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