Реши уравнение: x-8/15*x=4 1/5.

Ответ:

\[x - \frac{8}{15}x = 4\frac{1}{5}\]

\[x\left( 1 - \frac{8}{15} \right) = 4\frac{1}{5}\]

\[x\left( \frac{15}{15} - \frac{8}{15} \right) = 4\frac{1}{5}\]

\[\frac{7}{15}x = \frac{21}{5}\]

\[x = \frac{21}{5}\ :\frac{7}{15}\]

\[x = \frac{21}{5} \cdot \frac{15}{7} = \frac{3 \cdot 7 \cdot 5 \cdot 3}{5 \cdot 7}\]

\[x = 9.\]

\[Ответ:x = 9.\]