Question

Срочно! Даю 50 баллов! C ОБЪЯСНЕНИЕМ

1/2х+1/6х+5=x
5/3x+1/4= -2/3x+2
5(0.5+2x)=7.5+15x
-1.5(4-6x)=5x-2.8

Answer 1

Ответ:

1.

$\frac{1}{2x} + \frac{1}{6x} + 5 = 0 \\ \frac{3 + 1}{6x} = - 5 \\ \frac{4}{6x} = - 5 \\ \frac{2}{3x} = - 5 \\ 2 = - 5 \times 3x \\ 2 = - 15x \\ 15x = 2 \\ x = \frac{2}{15} \\ x = - 0.13$

2.

$\frac{5}{3x} + \frac{1}{4} = - \frac{2}{3x} + 2 \\ \frac{5}{3x} + \frac{2}{3x} = 2 - \frac{1}{4} \\ \frac{5 + 2}{3x} = 1 \frac{4}{4} - \frac{1}{4} \\ \frac{7}{3x} = \frac{8}{4} - \frac{1}{4} \\ \frac{7}{3x} = \frac{8 - 1}{4} \\ \frac{7}{3x} = \frac{7}{4}$

когда числители одинаковые, приравнять знаменательи:

$3 x = 4 \\ x = \frac{4}{3} \\ x = 1.3$

3.

$5(0.5 + 2x) = 7.5 + 15x \\ 2.5 + 10x = 7.5 + 15x \\ 10x - 15x = 7.5 - 2.5 \\ - 5x = 5 \\ x = \frac{5}{ - 5} \\ x = - 1$

4.

$- 1.5(4 - 6x) = 5x - 2.8 \\ - 6 + 9x = 5x - 2.8 \\ 9x - 5x = - 2.8 + 6 \\ 4x = 3.2 \\ x = \frac{3.2}{4} \\ x = 0.8$