№6. Решите уравнение: a) 7x = -95,4 - 2x; б) 5/6 y - 3/4 y + 1 = 2/3 y - 1/6.

Решение: а) \(7x = -95.4 - 2x\) \(7x + 2x = -95.4\) \(9x = -95.4\) \(x = -\frac{95.4}{9} = -10.6\) б) \(\frac{5}{6}y - \frac{3}{4}y + 1 = \frac{2}{3}y - \frac{1}{6}\) \(\frac{5}{6}y - \frac{3}{4}y - \frac{2}{3}y = - \frac{1}{6} - 1\) \(\frac{10}{12}y - \frac{9}{12}y - \frac{8}{12}y = - \frac{1}{6} - \frac{6}{6}\) \(\frac{10 - 9 - 8}{12}y = -\frac{7}{6}\) \(\frac{-7}{12}y = -\frac{7}{6}\) \(y = -\frac{7}{6} : (-\frac{7}{12})\) \(y = \frac{7}{6} \cdot \frac{12}{7} = \frac{7 \cdot 12}{6 \cdot 7} = \frac{1 \cdot 2}{1 \cdot 1} = 2\)