решите уравнения 2 цел 4/7: (0,5 х-23/35) = 7,5. 1 цел. 2/7 у-1/2) : 2,5=5,2. (1/4+3/4 х) : 0,45=25/36. 22 * (17/26 х-3/4) = 5 цел. 1/13.

1) 2 4/7 : (0,5 х - 23/35) = 7,5

18/7 : (5/10 х - 23/35) = 7 5/10

18/7 : (1/2 х - 23/35) = 75/10

18/7 : (1/2 х - 23/35) = 15/2

1/2 х - 23/35 = 18/7 : 15/2

1/2 х - 23/35 = 18/7 * 2/15

1/2 х - 23/35 = 2/7 * 18/15

1/2 х - 23/35 = 2/7 * 6/5

1/2 х - 23/35 = (2 * 6) / (7 * 5)

1/2 х - 23/35 = 12/35

1/2 х = 12/35 + 23/35

1/2 х = (12 + 23) / 35

1/2 х = 35/35

1/2 х = 1

х = 1 : 1/2

х = 1 * 2

х = 2

Ответ: 2

2) (1 2/7 у - 1/2) : 2,5 = 5,2

(9/7 у - 1/2) : 2 5/10 = 5 2/10

(9/7 у - 1/2) : 25/10 = 52/10

(9/7 у - 1/2) : 5/2 = 26/5

9/7 у - 1/2 = 26/5 * 5/2

9/7 у - 1/2 = 5/5 * 26/2

9/7 у - 1/2 = 1 * 13

9/7 у - 1/2 = 13

9/7 у = 13 + 1/2

9/7 у = 26/2 + 1/2

9/7 у = (26 + 1) / 2

9/7 у = 27/2

у = 27/2 : 9/7

у = 27/2 * 7/9

у = 7/2 * 27/9

у = 7/2 * 3

у = (7 * 3) / 2

у = 21/2

у = 10 1/2

у = 10 5/10

у = 10,5

Ответ: 10,5

3) (1/4 + 3/4 х) : 0,45 = 25/36

(1/4 + 3/4 х) : 45/100 = 25/36

1/4 + 3/4 х = 25/36 * 45/100

1/4 + 3/4 х = 45/36 * 25/100

1/4 + 3/4 х = 5/4 * 1/4

1/4 + 3/4 х = (5 * 1) / (4 * 4)

1/4 + 3/4 х = 5/16

3/4 х = 5/16 - 1/4

3/4 х = 5/16 - 4/16

3/4 х = (5 - 4) / 16

3/4 х = 1/16

х = 1/16 : 3/4

х = 1/16 * 4/3

х = 4/16 * 1/3

х = 1/4 * 1/3

х = 1 / (4 * 3)

х = 1/12

4) 22 * (17/26 х - 3/4) = 5 1/13

22 * (17/26 х - 3/4) = 66/13

17/26 х - 3/4 = 66/13 : 22

17/26 х - 3/4 = 66/22 : 13

17/26 х - 3/4 = 3 : 13

17/26 х - 3/4 = 3/13

17/26 х = 3/13 + 3/4

17/26 х = 12/52 + 39/52

17/26 х = (12 + 39) / 52

17/26 х = 51/52

х = 51/52 : 17/26

х = 51/52 * 26/7

х = 26/52 * 51/7

х = 1/2 * 51/7

х = (1 * 51) / (2 * 7)

х = 51/14

х = 3 9/14

Ответ: 3 9/14