5. Решите уравнения. 3\(\frac{8}{9}\) - x = 1\(\frac{5}{9}\) (y - 8\(\frac{12}{19}\)) + 1\(\frac{7}{19}\) = 6\(\frac{2}{19}\)

• 3\(\frac{8}{9}\) - x = 1\(\frac{5}{9}\) x = 3\(\frac{8}{9}\) - 1\(\frac{5}{9}\) x = 2\(\frac{3}{9}\) x = 2\(\frac{1}{3}\)

Проверка:

3\(\frac{8}{9}\) - 2\(\frac{1}{3}\) = 1\(\frac{5}{9}\)

3\(\frac{8}{9}\) - 2\(\frac{3}{9}\) = 1\(\frac{5}{9}\)

• (y - 8\(\frac{12}{19}\)) + 1\(\frac{7}{19}\) = 6\(\frac{2}{19}\) y - 8\(\frac{12}{19}\) = 6\(\frac{2}{19}\) - 1\(\frac{7}{19}\) y - 8\(\frac{12}{19}\) = 4\(\frac{14}{19}\) y = 4\(\frac{14}{19}\) + 8\(\frac{12}{19}\) y = 12\(\frac{26}{19}\) y = 13\(\frac{7}{19}\)

Проверка:

(13\(\frac{7}{19}\) - 8\(\frac{12}{19}\)) + 1\(\frac{7}{19}\) = 6\(\frac{2}{19}\)

4\(\frac{14}{19}\) + 1\(\frac{7}{19}\) = 6\(\frac{2}{19}\)

5\(\frac{21}{19}\) = 6\(\frac{2}{19}\)

6\(\frac{2}{19}\) = 6\(\frac{2}{19}\)

Ответ: \(x = 2\frac{1}{3}; y = 13\frac{7}{19}\)