Question

1/a=b-(1/c), solve for "a"

Answer 1

You could take the inverse of both sides, boom, problem solved.

Answer 2

\(\frac{1}{a} = b - \frac{1}{c}\)

Multiply b by c/c to get:

\(\frac{1}{a} = \frac{bc}{c} -\frac{1}{c}\)

Combine fractions on the right side to get

\(\frac{1}{a} = \frac{bc - 1}{c}\)

Cross multiply to get

\(c = a(bc-1)\)

Divide both sides by bc - 1 to get:

\(\large\frac{c}{bc-1} = a\)

The end

Answer 3

Any questions?

Answer 4

no, that was very helpful, thanks