Question

782. Решите уровнения:
1)x=2/3x+1;
2)x-1/2=3/4x;
3)x-2/3 = 5/6x;
4) 1 4/5 y = y + 4;
5) 2/3y - 1/3 = 5/9y;
6) 3/4 y - 2/3 = 7/12 y. ​

Answer 1

Пошаговое объяснение:

х = 2/3х + 1

х - 2/3х = 1

1/3х = 1

х = 1 : 1/3

х = 1 * 3/1

х = 3/1

х = 3

х - 1/2 = 3/4х

х - 3/4х = 1/2

1/4х = 1/2

х = 1/2 : 1/4

х = 1/2 * 4/1

х = 4/2

х = 2

х - 2/3 = 5/6х

х - 5/6х = 2/3

1/6х = 2/3

х = 2/3 : 1/6

х = 2/3 * 6/1

х = 12/3

х = 4

1 4/5у = у + 4

1 4/5у - у = 4

4/5у = 4

у = 4 : 4/5

у = 4 * 5/4

у = 20/4

у = 5

2/3у - 1/3 = 5/9у

2/3у - 5/9у = 1/3

6/9у - 5/9у = 1/3

1/9у = 1/3

у = 1/3 : 1/9

у = 1/3 * 9/1

у = 9/3

у = 3

3/4у - 2/3 = 7/12у

3/4у - 7/12у = 2/3

9/12у - 7/12у = 2/3

2/12у = 2/3

у = 2/3 : 2/12

у = 2/3 * 12/2

у = 24/6

у = 4