Question

solve for x. (1/a)+(1/x)=(1/b)

Answer 1

subtract 1/a from both sides, what u get?

Answer 2

(1/x) = (1/b)-(1/a)

Answer 3

1/x = 1/b -1/a
or 1/x =(a-b)/(ab) as LCM of denom is ab of rhs
then x =(ab)/(a-b)

Answer 4

@matricked stop giving entire solutions

Answer 5

can u simplify 1/b-1/a ?

Answer 6

no....?

Answer 7

use this
\(\huge\frac{p}{q}-\frac{r}{s}=\frac{ps-rq}{qs}\)

Answer 8

ok ! hint :- \[\frac{(1 \times a)-(1 \times b)}{ba}\]

Answer 9

now what do u get @spasta106 ??

Answer 10

a-b)/ba ?

Answer 11

ok ! so \[\frac{1}{x}=\frac{a-b}{ba}\]now cross multiply what do u gt @spasta106 ??

Answer 12

or just flip the fraction....

Answer 13

x(a-b)=ba

Answer 14

so x = (ba)/(a-b)

Answer 15

yup

Answer 16

yup ! @hartnn is also correct :)

Answer 17

gt it @spasta106 ?

Answer 18

\[\frac{ 1 }{ x } = \frac{ 1}{ b } - \frac{ 1 }{ a }\]
\[\frac{ 1 }{ x } = \frac{ \left( a-b \right) }{ ab }\]
\[x = \frac{ ab }{ \left( a-b \right) }\]