Question

Isole o y na equação
$\frac{1}{x} + \frac{1}{y} = 1$

Answer 1

$\frac{1}{x} + \frac{1}{y} = 1 \\ \frac{y + x}{xy} = 1 \\ y + x = xy \\ y - xy = - x \\ y(1 - x) = - x \\ y = \frac{ - x}{1 - x}$
Ou ainda:
$y = \frac{x}{x - 1}$
espero de ajudado!
bons estudos

Answer 2

Olá!

$\\ \displaystyle \mathsf{\frac{1}{x} + \frac{1}{y} = 1} \\\\\\ \mathsf{\frac{1}{y} = 1 - \frac{1}{x}} \\\\\\ \mathsf{\frac{1}{y} = \frac{x - 1}{x}} \\\\\\ \boxed{\mathsf{y = \frac{x}{x - 1}}}$