Вопрос:

Реши уравнение x-7/9*x=3,6.

Ответ:

\[x - \frac{7}{9}x = 3,6\]

\[x\left( 1 - \frac{7}{9} \right) = 3,6\]

\[x\left( \frac{9}{9} - \frac{7}{9} \right) = 3,6\]

\[\frac{2}{9}x = 3,6\]

\[x = 3,6\ :\frac{2}{9} = \frac{36}{10} \cdot \frac{9}{2}\]

\[x = \frac{2 \cdot 2 \cdot 9 \cdot 9}{5 \cdot 2 \cdot 2} = \frac{81}{5}\]

\[x = 16\frac{1}{5} = 16,2.\]

\[Ответ:\ x = 16,2.\]

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