Решите уровнения (3х+2целых 1/7)2целых1/7=92 5,2(2х-5,2)=4целых1/35 целых2/3

1) (3х + 2 1/7) : 2 1/7 = 9/2.

Переведем смешанные числа в дроби.

(3х + (2 * 7 + 1)/7) : (2 * 7 + 1)/7 = 9/2,

(3х + 15/7) : 15/7 = 9/2,

3х + 15/7 = 9/2 * 15/7,

3х + 15/7 = 135/14,

3х = 135/14 - 15 * 2/14,

3х = 135/14 - 30/14,

3х = (135 - 30)/14,

3х = 105/14,

х = 105/14 : 3,

х = 105/14 * 1/3,

х = 35/14 = 2,5,

Ответ: х = 2,5,

2) 5,2 : (2х - 5,2) = 4 1/3 : 5 2/3,

5,2 : (2х - 5,2) = (4 * 3 + 1)/3 : (5 * 3 + 2)/3,

52/10 : (2х - 5,2) = 13/3 : 17/3,

26/5 : (2х - 5,2) = 13/3 * 3/17,

26/5 : (2х - 5,2) = 13/17,

2х - 5,2 = 26/5 : 13/17,

2х - 5,2 = 26/5 * 17/13,

2х - 26/5 = 34/5,

2х = 34/5 + 26/5,

2х = (34 + 26)/5,

2х = 60/5,

2х = 12,

х = 12 : 2 = 6,

Ответ: х = 6.