Question

Розв'язати рівняння
А) -5х=25
Б) -1/4х=5/8
В) -(3-2х)-(4-х)=11
Г) х-2/6+х-1/15=3-3-х/12​

Answer 1

Ответ:

А)

$x = - 5$

Б)

$x = - \frac{5}{2}$

В)

$x = 6$

Г)

$x = \frac{1}{5}$

Объяснение:

А)

$- 5x = 25$

$- x = 25 \div 5$

$- x = 5$

$x = - 5$

Б)

$- \frac{1}{4} x = \frac{5}{8}$

$- x = \frac{5}{8} \div \frac{1}{4}$

$- x = \frac{5}{8} \times \frac{4}{1}$

$- x = \frac{5}{2}$

$x = - \frac{5}{2}$

В)

$- (3 - 2x) - (4 - x) = 11$

$- 3 + 2x - 4 + x = 11$

$2x + x = 11 + 3 + 4$

$3x = 18$

$x = 18 \div 3$

$x = 6$

Г)

$x - \frac{2}{6} + x - \frac{1}{15} = \\ = 3 - 3 - \frac{x}{12}$

$x + x + \frac{x}{12} = \frac{2}{6} + \frac{1}{15}$

$2x + \frac{x}{12} = \frac{2 \times 15 + 1 \times 6}{6 \times 15}$

$\frac{12 \times 2x + x \times 1}{12} = \frac{30 + 6}{90}$

$\frac{25x}{12} = \frac{36}{90}$

$25x = \frac{36 \times 12}{90}$

$25x = \frac{432}{90}$

$x = \frac{432}{90} \div 25$

$x = \frac{432}{90 \times 25}$

$x = \frac{450}{2250}$

$x = \frac{450 \times 1}{450 \times 5}$

$x = \frac{1}{5}$

$x = 0.2$