уравнение b - 5/14b = 5 1/7

Решение:

• 5 1/7 = 36/7.
• b - (5/14)b = (1 - 5/14) b = (9/14) b.
• (9/14) b = 36/7 → b = (36/7)·(14/9) = 8.

Проверка: 8 - (5/14)·8 = 8 - 40/14 = 8 - 20/7 = 56/7 - 20/7 = 36/7 = 5 1/7.

Ответ: b = 8.