Вариант I, Задание 4: Решите уравнения: а) \(x + \frac{1}{5} = \frac{4}{10}\), б) \(\frac{6}{15} - y = \frac{1}{4}\)

а) \(x + \frac{1}{5} = \frac{4}{10}\) \(x = \frac{4}{10} - \frac{1}{5} = \frac{4}{10} - \frac{2}{10} = \frac{2}{10} = \frac{1}{5}\) б) \(\frac{6}{15} - y = \frac{1}{4}\) \(y = \frac{6}{15} - \frac{1}{4} = \frac{6 \cdot 4}{15 \cdot 4} - \frac{1 \cdot 15}{4 \cdot 15} = \frac{24}{60} - \frac{15}{60} = \frac{9}{60} = \frac{3}{20}\) Ответ: а) \(x = \frac{1}{5}\), б) \(y = \frac{3}{20}\)