Question

Como despejar X en : a/x+1 = b/x-1

Answer 1

Hola! :)

$\frac{a}{x + 1} = \frac{b}{x - 1 } \\ \\ \frac{a}{b} = \frac{x + 1}{x - 1} \\ \\ \frac{a}{b} = \frac{(x - 1) + 2}{x - 1} \\ \\ \frac{a}{b} = \frac{x - 1}{ x - 1 } + \frac{2}{x - 1} \\ \\ \frac{a}{b} = 1 + \frac{2}{x - 1} \\ \\ \frac{a}{b} - 1 = \frac{2}{x - 1} \\ \\ \frac{ \frac{a}{b} - 1 }{2} = \frac{1}{x - 1} \\ \\ \frac{ \frac{a - b}{b} }{2} = \frac{1}{x - 1} \\ \\ \frac{a - b}{2b} = \frac{1}{x - 1} \\ \\ x - 1 = \frac{2b}{a - b} \\ \\ x = 1 + \frac{2b}{a - b} \\ \\ x = \frac{a + b}{a - b}$