4. Реши уравнения: ВПР 8 2 1) 15x = 3 2) 1-14x = 3 7

Ответ:

1) \(\frac{8}{15}x = \frac{2}{3}\)

\[x = \frac{2}{3} : \frac{8}{15} = \frac{2}{3} \cdot \frac{15}{8} = \frac{2 \cdot 15}{3 \cdot 8} = \frac{1 \cdot 5}{1 \cdot 4} = \frac{5}{4} = 1\frac{1}{4}\]

2) \(1 - 14x = \frac{3}{7}\)

\[-14x = \frac{3}{7} - 1 = \frac{3}{7} - \frac{7}{7} = -\frac{4}{7}\]

\[x = \frac{-\frac{4}{7}}{-14} = \frac{4}{7} : 14 = \frac{4}{7} \cdot \frac{1}{14} = \frac{4}{98} = \frac{2}{49}\]

Ответ: 1) x = 5/4 или 1 1/4; 2) x = 2/49