2.468 Найдите корень уравнения: г) у-y = 5;

г) $$y - \frac{1}{9}y = 5\frac{1}{3}$$

$$\frac{9}{9}y - \frac{1}{9}y = \frac{16}{3}$$

$$\frac{8}{9}y = \frac{16}{3}$$

$$y = \frac{16}{3} : \frac{8}{9}$$

$$y = \frac{16}{3} \cdot \frac{9}{8}$$

$$y = \frac{16 \cdot 9}{3 \cdot 8}$$

$$y = \frac{2 \cdot 3}{1 \cdot 1}$$

$$y = 6$$

Ответ: $$y = 6$$