Реши уравнение: b-5/14*b=5 1/7.

Ответ:

\[b - \frac{5}{14}b = 5\frac{1}{7}\]

\[b\left( 1 - \frac{5}{14} \right) = 5\frac{1}{7}\]

\[b\left( \frac{14}{14} - \frac{5}{14} \right) = 5\frac{1}{7}\]

\[\frac{9}{14}b = \frac{36}{7}\]

\[b = \frac{36}{7}\ :\frac{9}{14}\]

\[b = \frac{36}{7} \cdot \frac{14}{9} = \frac{4 \cdot 9 \cdot 7 \cdot 2}{7 \cdot 9}\]

\[b = 8\]

\[Ответ:\ b = 8.\]