Вопрос:

1. Реши уравнение: a) \(x + 8 \frac{17}{36}\) + 7 \(\frac{31}{36}\) = 25 \(\frac{1}{36}\) б) \(y - 5 \frac{17}{45}\) = 3 \(\frac{13}{45}\)

Ответ:

Пошаговое решение:

  1. а) Решение уравнения:
    \(x + 8 \frac{17}{36}\) + 7 \(\frac{31}{36}\) = 25 \(\frac{1}{36}\)
    x + \(8 \frac{17}{36} + 7 \frac{31}{36}\) = 25 \(\frac{1}{36}\)
    x + \(15 \frac{48}{36}\) = 25 \(\frac{1}{36}\)
    x + 16 \(\frac{12}{36}\) = 25 \(\frac{1}{36}\)
    x + 16 \(\frac{1}{3}\) = 25 \(\frac{1}{36}\)
    x = 25 \(\frac{1}{36}\) - 16 \(\frac{1}{3}\)
    x = 25 \(\frac{1}{36}\) - 16 \(\frac{12}{36}\)
    x = 8 \(\frac{25}{36}\)
    б) Решение уравнения:
    \(y - 5 \frac{17}{45}\) = 3 \(\frac{13}{45}\)
    y = 3 \(\frac{13}{45}\) + 5 \(\frac{17}{45}\)
    y = 8 \(\frac{30}{45}\)
    y = 8 \(\frac{2}{3}\)

Ответ: а) x = 8 \(\frac{25}{36}\), б) y = 8 \(\frac{2}{3}\)

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