7. Решите уравнения:1)\frac{6}{7}x = \frac{2}{7}; 2) 8\frac{1}{3}-x = 3\frac{5}{6} 3) 7,3\cdot(16,6+x) = 170,82 4) 2,65(n - 3,06) = 4,24

1. $$\frac{6}{7}x = \frac{2}{7}$$

   $$x = \frac{2}{7}:\frac{6}{7}$$

   $$x = \frac{2}{7} \cdot \frac{7}{6}$$

   $$x = \frac{2 \cdot 7}{7 \cdot 6}$$

   $$x = \frac{1}{3}$$

2. $$8\frac{1}{3}-x = 3\frac{5}{6}$$

   $$x = 8\frac{1}{3} - 3\frac{5}{6}$$

   $$x = 8\frac{2}{6} - 3\frac{5}{6}$$

   $$x = 7\frac{8}{6} - 3\frac{5}{6}$$

   $$x = 4\frac{3}{6} = 4\frac{1}{2}$$

3. $$7,3\cdot(16,6+x) = 170,82$$

   $$16,6+x = 170,82 : 7,3$$

   $$16,6+x = 23,4$$

   $$x = 23,4 - 16,6$$

   $$x = 6,8$$

4. $$2,65(n - 3,06) = 4,24$$

   $$n - 3,06 = 4,24 : 2,65$$

   $$n - 3,06 = 1,6$$

   $$n = 1,6 + 3,06$$

   $$n = 4,66$$

Ответ: 1) $$x = \frac{1}{3}$$; 2) $$x = 4\frac{1}{2}$$; 3) x = 6,8; 4) n = 4,66