5.201 Найдите корень уравнения: 19 14 a) - x = 30 30 30 18 7 б) + y = 25 25 25

Решение:

а) \[\frac{19}{30} - x = \frac{14}{30} - \frac{3}{30}\]

\[\frac{19}{30} - x = \frac{11}{30}\]

\[x = \frac{19}{30} - \frac{11}{30}\]

\[x = \frac{8}{30} = \frac{4}{15}\]

б) \[\frac{18}{25} - \frac{7}{25} + y = \frac{14}{25}\]

\[\frac{11}{25} + y = \frac{14}{25}\]

\[y = \frac{14}{25} - \frac{11}{25}\]

\[y = \frac{3}{25}\]

Ответ: a) \(\frac{4}{15}\); б) \(\frac{3}{25}\)