Вопрос:

Реши уравнение: y-7/12*y=4 1/6.

Ответ:

\[y - \frac{7}{12}y = 4\frac{1}{6}\]

\[y\left( 1 - \frac{7}{12} \right) = 4\frac{1}{6}\]

\[y\left( \frac{12}{12} - \frac{7}{12} \right) = 4\frac{1}{6}\]

\[\frac{5}{12}y = 4\frac{1}{6}\]

\[y = 4\frac{1}{6}\ :\frac{5}{12}\]

\[y = \frac{25}{6} \cdot \frac{12}{5}\]

\[y = \frac{5 \cdot 5 \cdot 6 \cdot 2}{6 \cdot 5} = 10\]

\[y = 10\]

\[Ответ:y = 10.\]

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