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

1)

\[\frac{8}{15}x = \frac{2}{3}\]

Умножим обе части уравнения на \(\frac{15}{8}\):

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

2)

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

Выразим x:

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

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

\[14x = \frac{4}{7}\]

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