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
