Ответ: 1) \(x = \frac{7}{6}\); 2) \(x = \frac{1}{9}\)
Решим уравнения: 1) \(\frac{10}{21}x = \frac{5}{7}\) \(x = \frac{5}{7} : \frac{10}{21}\) \(x = \frac{5}{7} \cdot \frac{21}{10}\) \(x = \frac{5 \cdot 21}{7 \cdot 10}\) \(x = \frac{105}{70}\) \(x = \frac{3}{2}\) \(x = 1\frac{1}{2}\)
2) \(\frac{1}{3} + 6x = 1\) \(6x = 1 - \frac{1}{3}\) \(6x = \frac{3}{3} - \frac{1}{3}\) \(6x = \frac{2}{3}\) \(x = \frac{2}{3} : 6\) \(x = \frac{2}{3} \cdot \frac{1}{6}\) \(x = \frac{2}{18}\) \(x = \frac{1}{9}\)
Ответ: 1) \(x = \frac{7}{6}\); 2) \(x = \frac{1}{9}\)