Question

решите уравнение 8 целых 3/4 :(2/3x +4) = 7/8​

Answer 1

Ответ:

Пошаговое объяснение:

8 3/4 :(2/3x +4) = 7/8​

2/3х + 4 = 8 3/4 : 7/8

2/3х + 4 = 35/4 : 7/8

2/3х  + 4 = 35/4 * 8/7

2/3х + 4 = 10

2/3х = 10 - 4

2/3х = 6

х = 6 : 2/3

х = 6 * 3/2

х = 9

Answer 2

Ответ:

9

Пошаговое объяснение:

$\displaystyle8 \frac{3}{4} \div ( \frac{2}{3} x + 4) = \frac{7}{8} .$

ОДЗ:

$\displaystyle\frac{2}{3} x + 4 \ne0 \\ \frac{2}{3} x \ne - 4 \\ x \ne - 4 \div \frac{2}{3} = - \frac{4}{1} \times \frac{3}{2} = - 6 \\ x \ne - 6$

$\displaystyle \frac{4 \times 8 + 3}{4} \div ( \frac{2x}{3} + \frac{4}{1} ) = \frac{7}{8} \\ \frac{35}{4} \div ( \frac{2x}{3} + \frac{12}{3} ) = \frac{7}{8} \\ \frac{35}{4} \div \frac{2x + 12}{3} = \frac{7}{8} \\ \frac{35}{4} \times \frac{3}{2x + 12} = \frac{7}{8} \\ \frac{35 \times 3}{4(2x + 12)} = \frac{7}{8} \\ \frac{105}{4(2x + 12)} = \frac{7}{8} \\ 8 \times 105 = 7 \times 4(2x + 12) \\ 840 = 28(2x + 12) \: \: \: \bigg | \div 28 \\ 2x + 12 = 30 \\ 2x = 30 - 12 \\ 2x = 18 \\ x = 18 \div 2 \\ x = 9$