Решите пожалуйста уравнения желая бы А и Б

Номер 190

А))
1 2/3Х + 5/6Х = 2 1/2 + 7/12 - 4 1/4

(13+2)/3Х + 5/6Х=
( 22+1)/2+ 7/12- (44+1)/4

5/3Х+ 5/6Х= 5/2+ 7/12- 17/4

(52)/(32)Х+5/6Х =
(56)/(26)+ 7/12- (173)/(43)

10/6Х+5/6Х= 30/12+ 7/12- 51/12
15/6Х= -(51-30-7)/12
15/6Х= -14/12
Х= -14/12: 15/6
Х= -14/12 6/15
Уменьшаем 12 и 6 на 6
Х= -14/2 1/15
Уменьшаем 14 и 2 на 2
Х= -7/1 1/15
Х= -7/15

Проверка

1 2/3Х + 5/6Х = 2 1/2 + 7/12 - 4 1/4
10/6Х+5/6Х= 30/12+ 7/12- 51/12
15/6Х= -(51-30-7)/12
15/6 (-7/15)= -14/12
Уменьшаем 15 и 15 на -5; 14 и 12 на 2
1/6 (-7/1)= -7/6
-7/6= -7/6


Б))
1 3/5У - 2 4/15У= 1/10 - 3 11/30 + 1 7/15

(15+3)/5У - (215+4)/15У=
1/10- (330+11)/30+ (115+7)/15

8/5У- 34/15У= 1/10- 101/30+ 22/15

(83)/(53)У- 34/15У=
(13)/(103)- 101/30+ (222)/(152)

24/15У- 34/15У= 3/30- 101/30+ 44/30

-10/15У= -54/30

У= -54/30 : -10/15

У= -54/30 - 15/10
Уменьшаем 54 и 10 на 2; 30 и 15 на 15;

У= 27/2 1/5

У= 27/10= 2 7/10= 2,7

Проверка
1 3/5У - 2 4/15У= 1/10 - 3 11/30 + 1 7/15
24/15У- 34/15У= 3/30- 101/30+ 44/30

-10/15У= -54/30
Уменьшаем 10/15 на 5; 54/30 на 2

-2/3У=-27/15
-2/3 (27/10)= -1 12/15
Уменьшаем 3 и 27 на 3; 2 и 10 на 2;
12 и 15 на 3;
-1/1 9/5= -1 4/5
-9/5= -1 4/5
-1 4/5= -1 4/5


В))
2 1/7а+ 3 9/14а = 11 1/7 -1 1/21 -2 3/14

(27+1)/7а + (314+9)/14а=
(117+1)/7 - (121+1)/21 - (214+3)/14

15/7а+ 51/14а= 78/7- 22/21- 31/14

(152)/(72)а+ 51/14а =
(782)/(72) - 31/14 - 22/21

30/14а + 51/14а= 156/14- 31/14- 22/21

81/14а= 125/14- 22/21

81/14а= (1253)/(143)- (222)/(212)

81/14а= 375/42- 44/42

81/14а= 331/42

а= 331/42: 81/14

а= 331/42 14/81

Сокращаем 42 и 14 на 14

а= 331/3 1/81

а= 331/243

а= 1 88/243

Проверка

2 1/7а+ 3 9/14а = 11 1/7 -1 1/21 -2 3/14
15/7а+ 51/14а= 78/7- 22/21- 31/14

30/14а + 51/14а= (786)/(76) - (222)/(212)- (313)/(143)

81/14а= 468/42- 44/42- 93/42

81/14 331/243= 331/42
Уменьшаем 81 и 162 на 81
1/14 331/3= 7 37/42

331/42= 7 37/42

7 37/42= 7 37/42