№3. Решите уравнения: 3 11 1)x+=12 14 1 156' 2)x-1=

Ответ: 1) х = 2/6 = 1/3; 2) x = 19/10

1) \(x + \frac{3}{4} = \frac{11}{12}\)

\(x = \frac{11}{12} - \frac{3}{4}\)

\(x = \frac{11}{12} - \frac{3 \cdot 3}{4 \cdot 3}\)

\(x = \frac{11}{12} - \frac{9}{12}\)

\(x = \frac{11-9}{12}\)

\(x = \frac{2}{12} = \frac{1}{6}\)

2) \(x - \frac{14}{15} = \frac{1}{6}\)

\(x = \frac{1}{6} + \frac{14}{15}\)

\(x = \frac{1 \cdot 5}{6 \cdot 5} + \frac{14 \cdot 2}{15 \cdot 2}\)

\(x = \frac{5}{30} + \frac{28}{30}\)

\(x = \frac{5+28}{30}\)

\(x = \frac{33}{30} = \frac{11}{10} = 1\frac{1}{10}\)

Ответ: 1) х = 1/6; 2) x = 1 1/10