Вопрос:
Решите уравнения: а) \((y-8\frac{12}{19})+1\frac{7}{19}=6\frac{2}{19}\); б) \((12\frac{5}{13}+y)-9\frac{9}{13}=7\frac{7}{13}\); в) \((x-3\frac{13}{21})+2\frac{10}{21}=7\frac{2}{21}\).
Ответ:
- \((y-8\frac{12}{19})+1\frac{7}{19}=6\frac{2}{19}\)
\(y-8\frac{12}{19}=6\frac{2}{19}-1\frac{7}{19}=4\frac{14}{19}\)
\(y=4\frac{14}{19}+8\frac{12}{19}=13\frac{7}{19}\).
Ответ: \(y=13\frac{7}{19}\). - \((12\frac{5}{13}+y)-9\frac{9}{13}=7\frac{7}{13}\)
\(12\frac{5}{13}+y=7\frac{7}{13}+9\frac{9}{13}=17\frac{3}{13}\)
\(y=17\frac{3}{13}-12\frac{5}{13}=4\frac{11}{13}\).
Ответ: \(y=4\frac{11}{13}\). - \((x-3\frac{13}{21})+2\frac{10}{21}=7\frac{2}{21}\)
\(x-3\frac{13}{21}=7\frac{2}{21}-2\frac{10}{21}=4\frac{13}{21}\)
\(x=4\frac{13}{21}+3\frac{13}{21}=8\frac{5}{21}\).
Ответ: \(x=8\frac{5}{21}\).