Question

If a≠b and (1/x) + (1/a) = (1/b), then x=
How does "x" end up being (ab/a-b)?

Answer 1

subtract 1/a from both sides - what do you end up with?

Answer 2

If a≠b and (1/x) + (1/a) = (1/b),
then (1/x) = (1/b) - (1/a),
right?

Answer 3

Right

Answer 4

now simplify 1/b - 1/a

Answer 5

so how do simplify the RHS of the expression?

Answer 6

RHS=right hand side

Answer 7

Factor out the - ... or create a common denominator?

Answer 8

right,create common denominator, so whats the LCM

Answer 9

(a+b)/ab

Answer 10

LCM is obtained by multiplying the two denominators, i.e a*b = ab, now with this can you solve (1/b) - (1/a)

Answer 11

Made a mistake by factoring out the - in my work. I have worked out the problem and got the correct answer. Thank you for the help.

Answer 12

good