2.467 Решите уравнение: б)n = 2- ;

б) $$\frac{3}{5}n = 2\frac{7}{10} - \frac{3}{5}$$

$$\frac{3}{5}n = \frac{27}{10} - \frac{3}{5}$$

$$\frac{3}{5}n = \frac{27}{10} - \frac{3 \cdot 2}{5 \cdot 2}$$

$$\frac{3}{5}n = \frac{27}{10} - \frac{6}{10}$$

$$\frac{3}{5}n = \frac{21}{10}$$

$$n = \frac{21}{10} : \frac{3}{5}$$

$$n = \frac{21}{10} \cdot \frac{5}{3}$$

$$n = \frac{21 \cdot 5}{10 \cdot 3}$$

$$n = \frac{7 \cdot 1}{2 \cdot 1}$$

$$n = \frac{7}{2}$$

$$n = 3\frac{1}{2}$$

Ответ: $$n = 3\frac{1}{2}$$