123. Решите уравнения: a) x/11 = 2 + 3/11; б) 3x/14 = -2 - 5/14; г) 2x/13 = 3 - 1/13.

Решение:

1. \( \frac{x}{11} = 2 + \frac{3}{11} \)

\( \frac{x}{11} = \frac{22 + 3}{11} \)
\( \frac{x}{11} = \frac{25}{11} \)
\( x = 25 \)
2. \( \frac{3x}{14} = -2 - \frac{5}{14} \)

\( \frac{3x}{14} = \frac{-28 - 5}{14} \)
\( \frac{3x}{14} = \frac{-33}{14} \)
\( 3x = -33 \)
\( x = -11 \)
3. \( \frac{2x}{13} = 3 - \frac{1}{13} \)

\( \frac{2x}{13} = \frac{39 - 1}{13} \)
\( \frac{2x}{13} = \frac{38}{13} \)
\( 2x = 38 \)
\( x = 19 \)

Ответ: a) \( x = 25 \); б) \( x = -11 \); г) \( x = 19 \).