Реши уравнения: x + 4 2/11 = 7 3 8/9 + a = 6 1/9 9 1/5 - y = 7 3/5 b - 3/17 = 1 16/17 z - 4 4/7 = 2 5/7 5 6/13 - c = 3 11/13

Решим уравнения: 1) \(x + 4 \frac{2}{11} = 7\) \(x = 7 - 4 \frac{2}{11}\) \(x = 7 - \frac{4 \cdot 11 + 2}{11}\) \(x = 7 - \frac{46}{11}\) \(x = \frac{7 \cdot 11}{11} - \frac{46}{11}\) \(x = \frac{77 - 46}{11}\) \(x = \frac{31}{11}\) Ответ: \(x = \frac{31}{11}\) 2) \(3 \frac{8}{9} + a = 6 \frac{1}{9}\) \(a = 6 \frac{1}{9} - 3 \frac{8}{9}\) \(a = (6 - 3) + (\frac{1}{9} - \frac{8}{9})\) \(a = 3 - \frac{7}{9}\) \(a = \frac{3 \cdot 9}{9} - \frac{7}{9}\) \(a = \frac{27 - 7}{9}\) \(a = \frac{20}{9}\) Ответ: \(a = \frac{20}{9}\) 3) \(9 \frac{1}{5} - y = 7 \frac{3}{5}\) \(y = 9 \frac{1}{5} - 7 \frac{3}{5}\) \(y = (9 - 7) + (\frac{1}{5} - \frac{3}{5})\) \(y = 2 - \frac{2}{5}\) \(y = \frac{2 \cdot 5}{5} - \frac{2}{5}\) \(y = \frac{10 - 2}{5}\) \(y = \frac{8}{5}\) Ответ: \(y = \frac{8}{5}\) 4) \(b - \frac{3}{17} = 1 \frac{16}{17}\) \(b = 1 \frac{16}{17} + \frac{3}{17}\) \(b = 1 + \frac{16}{17} + \frac{3}{17}\) \(b = 1 + \frac{16 + 3}{17}\) \(b = 1 + \frac{19}{17}\) \(b = 1 + 1 \frac{2}{17}\) \(b = 2 \frac{2}{17}\) Ответ: \(b = 2 \frac{2}{17}\) 5) \(z - 4 \frac{4}{7} = 2 \frac{5}{7}\) \(z = 2 \frac{5}{7} + 4 \frac{4}{7}\) \(z = (2 + 4) + (\frac{5}{7} + \frac{4}{7})\) \(z = 6 + \frac{5 + 4}{7}\) \(z = 6 + \frac{9}{7}\) \(z = 6 + 1 \frac{2}{7}\) \(z = 7 \frac{2}{7}\) Ответ: \(z = 7 \frac{2}{7}\) 6) \(5 \frac{6}{13} - c = 3 \frac{11}{13}\) \(c = 5 \frac{6}{13} - 3 \frac{11}{13}\) \(c = (5 - 3) + (\frac{6}{13} - \frac{11}{13})\) \(c = 2 - \frac{5}{13}\) \(c = \frac{2 \cdot 13}{13} - \frac{5}{13}\) \(c = \frac{26 - 5}{13}\) \(c = \frac{21}{13}\) Ответ: \(c = \frac{21}{13}\)