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!


{{{1/x + 1/a = 1/b}}}


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


bx - ax = - ab


x(b - a) = - ab


x = {{{highlight_green((- ab)/(b - a))}}}


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