Решебник по математике 6 класс Мерзляк ФГОС Задание 1151

 

\[\boxed{\mathbf{1151\ (1143)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 7x = - 30 + 2x\]

\[7x - 2x = - 30\]

\[5x = - 30\]

\[x = - 6\]

\[Ответ:\ - 6.\]

\[2)\ 16 - 18x = - 25x - 12\]

\[- 18x + 25x = - 12 - 16\]

\[7x = - 28\]

\[x = - 4\]

\[Ответ:\ - 4.\]

\[3) - 17x + 20 = 7x - 28\]

\[7x + 17x = 20 + 28\]

\[24x = 28\]

\[x = 2\]

\[Ответ:2.\]

\[4)\ 20 - 2x = 27 + x\]

\[x + 2x = 20 - 27\]

\[3x = - 7\]

\[x = - \frac{7}{3} = - 2\frac{1}{3}\]

\[Ответ:\ - 2\frac{1}{3}.\]

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

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

\[0,2x = 10,8\]

\[x = 54\]

\[Ответ:54.\]

\[6)\ 0,6x + 100 = 0,9x + 1\]

\[0,9x - 0,6x = 100 - 1\]

\[0,3x = 99\]

\[x = 330\]

\[Ответ:330.\]

\[7) - \frac{9}{14}x + 18 = - \frac{2}{3}x + 17\]

\[- \frac{27}{42}x + \frac{28}{42}x = 17 - 18\]

\[\frac{1}{42}x = - 1\]

\[x = - 42\]

\[Ответ:\ - 42.\]

\[8) - \frac{8}{15}x - 11 = \frac{4}{9}x + 11\]

\[\frac{20}{45}x + \frac{24}{45}x = - 11 - 11\]

\[\frac{44}{45}x = - 22\]

\[x = - 22\frac{1}{2} = - 22,5\]

\[Ответ:\ - 22,5.\]