Решебник по алгебре 7 класс Мерзляк Задание 34

\[\boxed{\text{34\ (34).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ 18 - 16x = - 30x - 10\]

\[- 16x + 30x = - 10 - 18\]

\[14\ x = - 28\]

\[x = - \frac{28}{14}\]

\[x = - 2\]

\[Ответ:x = - 2.\]

\[2) - 7x + 2 = 3x - 1\]

\[- 7x - 3x = - 1 - 2\]

\[- 10x = - 3\]

\[x = \frac{3}{10} = 0,3\]

\[Ответ:x = 0,3.\]

\[3)\ 10 - 2x = 12 + x\]

\[- 2x - x = 12 - 10\]

\[- 3x = 2\]

\[x = - \frac{2}{3}\]

\[Отевет:x = - \frac{2}{3}.\]

\[4)\ 6x - 19 = - 2x - 15\]

\[6x + 2x = - 15 + 19\]

\[8x = 4\]

\[x = \frac{4}{8}\]

\[x = \frac{1}{2} = 0,5\]

\[Ответ:x = 0,5.\]

\[5)\ 0,2x + 3,4 = 0,6x - 2,6\]

\[0,2x - 0,6x = - 2,6 - 3,4\]

\[- 0,4x = - 6\]

\[x = - \frac{6}{- 0,4}\]

\[x = \frac{60}{4}\]

\[x = 15\]

\[Ответ:x = 15.\]

\[6)\ \frac{5}{6}x + 12 = \frac{1}{4}x - 2\]

\[\frac{5^{\backslash 2}}{6}x - \frac{1^{\backslash 3}}{4}x = - 2 - 12\]

\[x \cdot \left( \frac{10}{12} - \frac{3}{12} \right) = - 14\]

\[\frac{7}{12}x = - 14\]

\[x = - 14 \cdot \frac{12}{7}\]

\[x = - 2 \cdot 12\]

\[x = - 24\]

\[Ответ:x = - 24.\]