4. Решите уравнение: a) \(3\frac{1}{15} - 1\frac{14}{15}x = \frac{1}{6}\) б) \(0,006 x + \frac{1}{2} x + 7,494x = 8040\)

a) \(3\frac{1}{15} - 1\frac{14}{15}x = \frac{1}{6}\) \(\frac{46}{15} - \frac{29}{15}x = \frac{1}{6}\) \(\frac{29}{15}x = \frac{46}{15} - \frac{1}{6}\) \(\frac{29}{15}x = \frac{92 - 5}{30}\) \(\frac{29}{15}x = \frac{87}{30}\) \(x = \frac{87}{30} \cdot \frac{15}{29}\) \(x = \frac{87}{2 \cdot 29}\) \(x = \frac{87}{58}\) \(x = 1\frac{29}{58} = 1\frac{1}{2}\) \(\mathbf{x = 1.5}\) б) \(0,006 x + \frac{1}{2} x + 7,494x = 8040\) \(0,006x + 0,5x + 7,494x = 8040\) \(8x = 8040\) \(x = \frac{8040}{8}\) \(\mathbf{x = 1005}\)