4. Решите уравнение: a) \(8\frac{6}{19} - x = 5\frac{3}{19}\); б) \(x + 3\frac{6}{7} = 8\frac{3}{7}\).

Решение:

1. а) \(8\frac{6}{19} - x = 5\frac{3}{19}\) \(x = 8\frac{6}{19} - 5\frac{3}{19}\) \(x = (8-5) + (\frac{6}{19} - \frac{3}{19})\) \(x = 3 + \frac{3}{19}\) \(x = 3\frac{3}{19}\)
2. б) \(x + 3\frac{6}{7} = 8\frac{3}{7}\) \(x = 8\frac{3}{7} - 3\frac{6}{7}\) \(x = 7\frac{10}{7} - 3\frac{6}{7}\) \(x = (7-3) + (\frac{10}{7} - \frac{6}{7})\) \(x = 4 + \frac{4}{7}\) \(x = 4\frac{4}{7}\)

Ответ: а) \(3\frac{3}{19}\); б) \(4\frac{4}{7}\)