Вопрос:

Решите уравнение: 1,2+3/10*y=8/15*y+0,78.

Ответ:

\[1,2 + \frac{3^{\backslash 3}}{10}y = \frac{8^{\backslash 2}}{15}y + 0,78\]

\[\frac{9}{30}y - \frac{16}{30}y = 0,78 - 1,2\]

\[- \frac{7}{30}y = - 0,42\]

\[- \frac{7}{30}y = - \frac{42}{100}\]

\[y = - \frac{21}{50}\ :\left( - \frac{7}{30} \right)\]

\[y = \frac{21}{50} \cdot \frac{30}{7} = \frac{9}{5}\]

\[y = 1,8.\]

\[Ответ:y = 1,8.\]


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