• 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

Ответы 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 - 2х/8 + 4х/8 - 8х/8 = 1;

    - 5х/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;

    5х/9 - 6х/9 - 9х/9 = 4;

    - 10х/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;

    12х - 8 - 4х + 8 = 2;

    8х = 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 + 5х - 10х - 35 = 0;

    - 5х = 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.

     

     

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