Question

(6/7х-1/5)*5/8=5/8 найти х

Answer 1

Решение и ответ:

$\displaystyle \left({\frac{6}{7}x-\frac{1}{5}}\right)\cdot\frac{5}{8}=\frac{5}{8}$

$\displaystyle \left({\frac{6}{7}x-\frac{1}{5}}\right)=\frac{5}{8}\div\frac{5}{8}$

$\displaystyle \left({\frac{6}{7}x-\frac{1}{5}}\right)=\frac{5}{8}\cdot\frac{8}{5}$

$\displaystyle \frac{6}{7}x-\frac{1}{5}=1$

$\displaystyle \frac{6}{7}x=1+\frac{1}{5}$

$\displaystyle x=1\frac{1}{5}\div\frac{6}{7}$

$\displaystyle x=\frac{6}{5}\div\frac{6}{7}$

$\displaystyle x=\frac{6}{5}\cdot\frac{7}{6}$

$\displaystyle \boxed{x=\frac{7}{5}=1\frac{2}{5}}$