Question

Выполни Найди корни уравнений​

Answer 1

$(101 \frac{4}{7} - x) \div 29 = \frac{1}{14} \\ 101 \frac{4}{7} - x = \frac{1}{14} \times 29 \\ 101 \frac{4}{7} - x = \frac{29}{14} \\101 \frac{4}{7} - x = 2 \frac{1}{14} \\ 101 \frac{4}{7} - 2 \frac{1}{14} = x \\ x = 101 - 2 + \frac{4 \times 2 - 1}{14} = 99 \frac{ 7}{14} \\ x= 99 \frac{1}{2} = 99.5$

ПРОВЕРКА:

$(101 \frac{4}{7} - 99 \frac{7}{14} ) \div 29 = \frac{1}{14} \\ (101 \frac{8}{14} - 99 \frac{7}{14} ) \div 29 = \frac{1}{14} \\ 2 \frac{1}{14} \div 29 = \frac{1}{14} \\ \frac{29}{14} \div 29 = \frac{1}{14} \\ \frac{29}{14 \times 29} = \frac{1}{14} \\ \frac{1}{14} = \frac{1}{14}$