Решите уравнение: a) \((x - 8) \cdot \frac{2}{5} = 2\); б) \(2\frac{1}{3}x - 2\frac{1}{3} = 2\frac{1}{3}\)

Решение:

1. а) \((x - 8) \cdot \frac{2}{5} = 2\)
   \(x - 8 = 2 : \frac{2}{5}\)
   \(x - 8 = 2 \cdot \frac{5}{2}\)
   \(x - 8 = 5\)
   \(x = 5 + 8\)
   \(x = 13\)
2. б) \(2\frac{1}{3}x - 2\frac{1}{3} = 2\frac{1}{3}\)
   \(\frac{7}{3}x - \frac{7}{3} = \frac{7}{3}\)
   \(\frac{7}{3}x = \frac{7}{3} + \frac{7}{3}\)
   \(\frac{7}{3}x = \frac{14}{3}\)
   \(x = \frac{14}{3} : \frac{7}{3}\)
   \(x = \frac{14}{3} \cdot \frac{3}{7}\)
   \(x = 2\)

Ответ: а) x = 13; б) x = 2.