Question

23,4: (x - 13, 5) = 2/3
Уравнение помогите

Answer 1

Ответ:

$23.4 \div (x - 13.5) = \frac{2}{3}$

$\color{red}{x - 13.5 = 0 } \\ \color{red}{x = 13.5}$

$23.4 \div (x - 13.5) = \frac{2}{3} .x≠13.5$

$\frac{117}{5} \div (x - \frac{27}{2} ) = \frac{2}{3}$

$\frac{117}{5} \div \frac{x}{1} - \frac{27}{2} = \frac{2}{3}$

$\frac{117}{5} \div \frac{2x}{2 \times 1} - \frac{27}{2} = \frac{2}{3}$

$\frac{117}{5} \div \frac{2x}{2} - \frac{27}{2} = \frac{2}{3}$

$\frac{117}{5} \div \frac{2x - 27}{2} = \frac{2}{3}$

$\frac{115}{5} \times \frac{2}{2x - 27} = \frac{2}{3}$

$\frac{117 \times 2}{5(2x - 27)} = \frac{2}{3}$

$\frac{234}{5(2x - 27)} = \frac{2}{3}$

$234 \times 3 = 2 \times 5(2x - 27)$

$702 = 10(2x - 27)$

$702 = 10 \times 2x - 10 \times 27$

$702 = 20x - 270$

$- 20x = - 270 - 702$

$- 20x = - 972$

$- 20x \div ( - 20) = - 972 \div ( - 20)$

$x = \frac{972}{20}$

сокращаем на общий делитель 4:

$x = \frac{243}{5} .x≠13.5$

$x = \frac{243}{5} .x≠ \frac{27}{2}$

$x = \frac{243}{5}$