Краткое пояснение: Чтобы найти неизвестное, нужно выполнить обратную операцию.
1)
\[x + \frac{5}{36} = \frac{13}{36}\]
\[x = \frac{13}{36} - \frac{5}{36}\]
\[x = \frac{8}{36} = \frac{2}{9}\]
Проверка:
\[\frac{2}{9} + \frac{5}{36} = \frac{8}{36} + \frac{5}{36} = \frac{13}{36}\]
2)
\[y - \frac{16}{49} = \frac{27}{49}\]
\[y = \frac{27}{49} + \frac{16}{49}\]
\[y = \frac{43}{49}\]
Проверка:
\[\frac{43}{49} - \frac{16}{49} = \frac{27}{49}\]
3)
\[\frac{8}{21} + k = \frac{17}{21}\]
\[k = \frac{17}{21} - \frac{8}{21}\]
\[k = \frac{9}{21} = \frac{3}{7}\]
Проверка:
\[\frac{8}{21} + \frac{3}{7} = \frac{8}{21} + \frac{9}{21} = \frac{17}{21}\]
4)
\[\frac{48}{56} - t = \frac{39}{56}\]
\[t = \frac{48}{56} - \frac{39}{56}\]
\[t = \frac{9}{56}\]
Проверка:
\[\frac{48}{56} - \frac{9}{56} = \frac{39}{56}\]
Ответ: \(x = \frac{2}{9}\); \(y = \frac{43}{49}\); \(k = \frac{3}{7}\); \(t = \frac{9}{56}\)