Question

If a is not equal to b and 1/x+ 1/a= 1/b then x=

Answer 1

Answer:

ab / (a-b) =x

Step-by-step explanation:

1/x+ 1/a= 1/b

Multiply by axb to get rid of fractions

axb(1/x+ 1/a)= 1/b* axb

ab + bx = ax

Subtract bx from each side

ab+bx -bx = ax-bx

ab = ax-bx

Factor out x

ab = x(a-b)

Divide each side by (a-b)

ab / (a-b) = x (a-b)/(a-b)

ab / (a-b) =x