А) 1/8u-2=5/8+1 Б) x/8-x/4+x/2-x=1 В) 5x/9-2x/3-x=4 Г) 3x/4-x=4x/5+x Д) 6 (x-1) + 3 (5-x) = 9 Е) 4 (3x-2) - 4 (x-2) = 2 Ж) 5 (6+x) - 5 (2x+7) = 0

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Квинтон

Математика

22 января, 06:19

А) 1/8u-2=5/8+1 Б) x/8-x/4+x/2-x=1 В) 5x/9-2x/3-x=4 Г) 3x/4-x=4x/5+x Д) 6 (x-1) + 3 (5-x) = 9 Е) 4 (3x-2) - 4 (x-2) = 2 Ж) 5 (6+x) - 5 (2x+7) = 0

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Кирилл Кольцов · Answer 1

А) 1/8u - 2 = 5/8 + 1;

1/8u = 5/8 + 1 + 2;

1/8u = 5/8 + 3;

1/8u = 5/8 + 24/8;

1/8u = 29/8;

u = 29/8 : 1/8;

u = 29/8 * 8/1;

u = 29;

1/8 * 29 - 2 = 5/8 + 1;

29/8 - 16/8 = 5/8 + 8/8;

13/8 = 13/8;

Б) x/8 - x/4 + x/2 - x = 1;

х/8 - 2 х/8 + 4 х/8 - 8 х/8 = 1;

- 5 х/8 = 1;

- х = 1 : 5/8;

- х = 1 * 8/5;

х = - 8/5;

- 8/5/8 - ( - 8/5) / 4 + (-8/5) / 2 - ( - 8/5) = 1;

- 8/5 * 1/8 + 8/5 * 1/4 - 8/5 * 1/2 + 8/5 = 1;

- 8/40 + 8/20 - 8/10 + 8/5 = 1;

- 8/40 + 16/40 - 32/40 + 64/40 = 1;

40/40 = 1;

1 = 1;

В) 5x/9 - 2x/3 - x = 4;

5 х/9 - 6 х/9 - 9 х/9 = 4;

- 10 х/9 = 4;

- х = 4 : 10/9;

- х = 4 * 9/10;

- х = 36/10;

х = - 36/10;

5 * ( - 36/10) / 9 - 2 * ( - 36/10) / 3 - ( - 36/10) = 4;

5 * ( - 36/10 * 1/9) - 2 * ( - 36/10 * 1/3) + 36/10 = 4;

5 * ( - 4/10) - 2 * ( - 12/10) + 36/10 = 4;

- 20/10 + 24/10 + 36/10 = 4;

40/10 = 4;

4 = 4;

Е) 4 * (3x - 2) - 4 * (x - 2) = 2;

12 х - 8 - 4 х + 8 = 2;

8 х = 2;

х = 2 : 8;

х = 0,25;

4 * (3 * 0,25 - 2) - 4 * (0,25 - 2) = 2;

4 * ( - 1,25) - 4 * ( - 1,75) = 2;

- 5 + 7 = 2;

2 = 2;

Ж) 5 * (6 + x) - 5 * (2x + 7) = 0;

30 + 5 х - 10 х - 35 = 0;

- 5 х = 5;

- х = 5 : 5;

- х = 1;

х = - 1;

5 * (6 + (-1)) - 5 * (2 * ( - 1) + 7) = 0;

5 * 5 - 5 * ( - 2 + 7) = 0;

25 - 25 = 0;

0 = 0.