Question

Нужно срочно !!!! Даю 20 баллов

Answer 1

42)
$\frac{2x - 3}{4} + \frac{x + 2}{2} = 6 + \frac{2x - 3}{2} \\ \frac{2x - 3}{4} + \frac{2(x + 2)}{4} = \frac{24}{4} + \frac{2(2x - 3)}{4} \\ \frac{2x - 3 + 2x + 4}{4} = \frac{24 + 4x - 6}{4} \\ \frac{4x + 1}{ 4} = \frac{18 + 4x}{4} \\ 4x + 1 = 18 + 4x \\ 0 = 17$
=> нет корней.
Ответ: нет корней.
44)
$\frac{2x - 3}{2} - \frac{3 - 4x}{4} - \frac{3 - 5x}{8} = 0 \\ \frac{4(2x - 3)}{8} - \frac{2(3 - 4x)}{8} - \frac{3 - 5x}{8} = 0 \\ \frac{8x - 12 - (6 - 8x) - (3 - 5x)}{8} = 0 \\ \frac{8x - 12 - 6 + 8x - 3 + 5x}{8} = 0 \\ \frac{21x - 21}{8} = 0 \\ 21x - 21 = 0 \\ 21(x - 1) = 0 \\ x - 1 = 0 \\ x = 1$
Ответ: 1.
46)
$\frac{5x}{6} - \frac{1 - 3x}{5} = x - \frac{x - 7}{15} - 1 \\ \frac{5 \times 5x}{30} - \frac{6(1 - 3x)}{30} = \frac{30x}{30} - \frac{2(x - 7)}{30} - \frac{30}{30} \\ \frac{25x - (6 - 18x)}{30} = \frac{30x - (2x - 14) - 30}{30} \\ \frac{25x - 6 + 18x}{30} = \frac{30x - 2 x+ 14 - 30}{30} \\ \frac{43 x- 6}{30} = \frac{28x - 16}{30} \\ 43 x- 6 = 28x - 16 \\ 43x - 28x = 6 - 16 \\ 15x = - 10 \\ x = - \frac{10}{15} = - \frac{2}{3}$