2 1/8+15/16 х+1 3/4 х+1/2=5 5/16

1)

х = 2/3 * х + 1

х-2/3*х = 1

х * (1-2/3) = 1

1/3*х = 1

х = 1: 1/3 = 1/1 * 3/1

х=3

Проверим: 3 = 2/3*3 + 1; 3 = 2+1; 3=3

2) х - 1/2 = 3/4 * х

х-3/4 х=1/2

х * (1-3/4) = 1/2

1/4 х = 1/2

х=1/2: 1/4 = 1/2 * 4/1

х=4/2 = 2

Проверим: 2-1/2=3/4*2; 1 1/2 = 3/2; 1 1/2 = 1 1/2

3) х - 2/3 = 5/6 * х

х - 5/6 х = 2/3

х * (1-5/6) = 2/3

1/6 х = 2/3

х = 2/3 : 1/6 = 2/3 * 6/1=2*2/1*1

х = 4

Проверим: 4-2/3 = 5/6 * 4; 3 1/3 = 20/6; 3 1/3 = 10/3; 3 1/3 = 3 1/3

4)

1 4/5 * у = у+4

1 4/5 * у - у = 4

у * (1 4/5 - 1) = 4

4/5*у = 4

у = 4 : 4/5 = 4/1 * 5/4

у=5

Проверим: 1 4/5 * 5 = 5+4; 9*5/5*1 = 9; 9=9

5) 2/3*у - 1/3 = 5/9*у

2/3 * у - 5/9*у=1/3

у * (2/3-5/9) = 1/3

у * (6/9 - 5/9) = 1/3

1/9 у = 1/3

у = 1/3: 1/9 = 1/3*9/1

х=3

Проверим: 2/3*3 - 1/3 = 5/9 * 3; 2 - 1/3 = 5/3; 1 2/3 = 1 2/3

6) 3/4 * у - 2/3 = 7/12*у

3/4 * у - 7/12*у = 2/3

у * (3/4 - 7/12) = 2/3

у * (9/12-7/12) = 2/3

2/12*у = 2/3

у = 2/3 : 2/12 = 2*12/3*2=12/3

у=4

Проверим: 3/4 * 4 - 2/3 = 7/12 * 4; 3-2/3 = 7/3; 2 1/3 = 2 1/3