1) \(\frac{10}{21}x = \frac{5}{7}\)
\(x = \frac{5}{7} : \frac{10}{21}\)
\(x = \frac{5}{7} \cdot \frac{21}{10}\)
\(x = \frac{5 \cdot 21}{7 \cdot 10}\)
\(x = \frac{105}{70} = \frac{3}{2} = 1.5\)
Ответ: \(x = 1.5\)
2) \(\frac{1}{3} + 6x = 1\)
\(6x = 1 - \frac{1}{3}\)
\(6x = \frac{3}{3} - \frac{1}{3} = \frac{2}{3}\)
\(x = \frac{2}{3} : 6\)
\(x = \frac{2}{3} \cdot \frac{1}{6}\)
\(x = \frac{2}{18} = \frac{1}{9}\)
Ответ: \(x = \frac{1}{9}\)