3. Решите уравнение: 5 2 6 3 22 1) -x=; 3)x = 24; 5) x : =; 13 13' 7 11 27' 8 3 15 5 2) x = 1; 4) 7x = ; 6) : x = ; 9 4' 52 13

Ответ:

1. \[\frac{5}{13}x = \frac{2}{13}\]

   \[x = \frac{2}{13} : \frac{5}{13}\]

   \[x = \frac{2}{13} \cdot \frac{13}{5}\]

   \[x = \frac{2 \cdot 13}{13 \cdot 5}\]

   \[x = \frac{2}{5}\]

2. \[\frac{8}{9}x = 1\]

   \[x = 1 : \frac{8}{9}\]

   \[x = 1 \cdot \frac{9}{8}\]

   \[x = \frac{9}{8}\]

   \[x = 1\frac{1}{8}\]

3. \[\frac{6}{7}x = 24\]

   \[x = 24 : \frac{6}{7}\]

   \[x = 24 \cdot \frac{7}{6}\]

   \[x = \frac{24 \cdot 7}{6}\]

   \[x = 4 \cdot 7\]

   \[x = 28\]

4. \[7x = \frac{3}{4}\]

   \[x = \frac{3}{4} : 7\]

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

   \[x = \frac{3}{28}\]

5. \[x : \frac{3}{11} = \frac{22}{27}\]

   \[x = \frac{3}{11} \cdot \frac{22}{27}\]

   \[x = \frac{3 \cdot 22}{11 \cdot 27}\]

   \[x = \frac{1 \cdot 2}{1 \cdot 9}\]

   \[x = \frac{2}{9}\]

6. \[\frac{15}{52} : x = \frac{5}{13}\]

   \[x = \frac{15}{52} : \frac{5}{13}\]

   \[x = \frac{15}{52} \cdot \frac{13}{5}\]

   \[x = \frac{15 \cdot 13}{52 \cdot 5}\]

   \[x = \frac{3 \cdot 1}{4 \cdot 1}\]

   \[x = \frac{3}{4}\]

Ответ: