№3. Решите уравнения: 1)x+1=10 2)x-25-20 3) 37-x=74.

Ответ: 1) x=7/18; 2) x=121/100; 3) x=7/4

1) \[x + \frac{1}{6} = \frac{13}{18}\]

\[x = \frac{13}{18} - \frac{1}{6}\]

\[x = \frac{13}{18} - \frac{3}{18}\]

\[x = \frac{10}{18} = \frac{5}{9}\]

2) \[x - \frac{16}{25} = \frac{17}{20}\]

\[x = \frac{17}{20} + \frac{16}{25}\]

\[x = \frac{17 \cdot 5}{20 \cdot 5} + \frac{16 \cdot 4}{25 \cdot 4}\]

\[x = \frac{85}{100} + \frac{64}{100}\]

\[x = \frac{149}{100} = 1 \frac{49}{100}\]

3) \[\frac{25}{37} - x = \frac{9}{74}\]

\[x = \frac{25}{37} - \frac{9}{74}\]

\[x = \frac{25 \cdot 2}{37 \cdot 2} - \frac{9}{74}\]

\[x = \frac{50}{74} - \frac{9}{74}\]

\[x = \frac{41}{74}\]

Ответ: 1) x=7/18; 2) x=121/100; 3) x=7/4