Решебник по алгебре 7 класс Мерзляк Задание 46

\[\boxed{\text{46\ (46).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

Пояснение.

Решение.

\[1)\ \frac{3m + 5}{4} = \frac{5m + 1}{3}\text{\ \ \ \ \ \ \ \ \ }| \cdot 12\]

\[3 \cdot (3m + 5) = 4 \cdot (5m + 1)\]

\[9m + 15 = 20m + 4\]

\[9m - 20m = 4 - 15\]

\[- 11m = - 11\]

\[m = 1\]

\[Ответ:m = 1.\]

\[2)\ \frac{5x + 3}{5} = \frac{x - 5}{8}\ \ \ \ \ \ \ \ \ | \cdot 40\]

\[8 \cdot (5x + 3) = 5 \cdot (x - 5)\]

\[40x + 24 = 5x - 25\]

\[40x - 5x = - 25 - 24\]

\[35x = - 49\]

\[x = - \frac{49}{35}\]

\[x = - \frac{7}{5}\]

\[x = - 1,4\]

\[Ответ:\ x = - 1,4.\]