Question

Make x the subject of the formula in: a/x - 1= b/2x

Answer 1

$x = \frac{b}{b - 2a}$

Step-by-step explanation:

$Given, \: \: \: \frac{a}{x - 1} = \frac{b}{2x} \\ \: \: \: \: \: \ \: a \times 2x = b \times (x - 1) \\ 2ax = bx - b \\ \: \ \: b = bx - 2ax \\ \: \: \: \: \: b = x(b - 2a) \\ \: \: \: \: \: x(b - 2a) = b \\ \: \: \: \: x = \frac{b}{b - 2a}$