Решите уравнение: 1) 7 \(\frac{7}{30}\) - \(5 \frac{11}{30} - y\) = 3 \(\frac{19}{30}\); 2) \(x - 1 \frac{9}{17}\) + 2 \(\frac{14}{17}\) = 5 \(\frac{5}{17}\).

Решение:

1. Уравнение 1:
   \( 7 \frac{7}{30} - (5 \frac{11}{30} - y) = 3 \frac{19}{30} \)
   \( 7 \frac{7}{30} - 5 \frac{11}{30} + y = 3 \frac{19}{30} \)
   \( 6 \frac{37}{30} - 5 \frac{11}{30} + y = 3 \frac{19}{30} \)
   \( 1 \frac{26}{30} + y = 3 \frac{19}{30} \)
   \( 1 \frac{13}{15} + y = 3 \frac{19}{30} \)
   \( y = 3 \frac{19}{30} - 1 \frac{13}{15} \)
   \( y = 3 \frac{19}{30} - 1 \frac{26}{30} \)
   \( y = 2 \frac{49}{30} - 1 \frac{26}{30} \)
   \( y = 1 \frac{23}{30} \)
2. Уравнение 2:
   \( (x - 1 \frac{9}{17}) + 2 \frac{14}{17} = 5 \frac{5}{17} \)
   \( x - 1 \frac{9}{17} + 2 \frac{14}{17} = 5 \frac{5}{17} \)
   \( x + 1 \frac{5}{17} = 5 \frac{5}{17} \)
   \( x = 5 \frac{5}{17} - 1 \frac{5}{17} \)
   \( x = 4 \)

Ответ: 1) y = 1 \(\frac{23}{30}\); 2) x = 4.