Mathématiques

Question

Bonjour aidez moi svp !!! : a)12+x=5-13x 7x-8=3x+2 b)5-12x+13,5=-x +12+3x-7,5 C) x/5+11=-9 5-x/2=1/2. D) 11/5 x +2=0 11=5+3/2x E) 3x/2 + x/3-1=1/3 3/2 x +1 = x/4-1. F) 3x+7(8-x)+4=60+x G) 5(x-2) + 2 (1-3x) =7x+12 H) 4(x-1)-3(2-x)=2

1 Réponse

  • Bonsoir,

    a) 12 + x = 5 - 13x

    x + 13x = 5 - 12

    14x = - 7

    x = - 7/14

    x = - 1/2

    7x - 8 = 3x + 2

    7x - 3x = 2 + 8

    4x = 10

    x = 10/4

    x = 5/2

    b) 5 - 12x + 13,5 = - x + 12 + 3x - 7,5

    - 12x + x - 3x = 12 - 7,5 - 5 - 13,5

    - 14x = - 13,5

    x = 13,5/14

    C) x/5 + 11 = - 9

    x/5 = - 9 - 11

    x/5 = - 20

    x/5 = - 100/5

    x = - 100

    5 - x/2 = 1/2.

    - x/2 = 1/2 - 5

    - x/2 = 1/2 - 10/2

    - x = 1 - 10

    - x = - 9

    x = 9

    D) 11/5x + 2 = 0

    11/5x = - 2

    11/5x = - 10/5

    11x = - 10

    x = - 10/11

    11 = 5 + 3/2x

    3/2x = 11 - 5

    3/2x = 6

    3/2x = 12/2

    3x = 12

    x = 12/3

    x = 4

    E) 3x/2 + x/3 - 1 = 1/3

    9x/6 + 2x/6 = 2/6 + 6/6

    9x + 2x = 2 + 6

    11x = 8

    x = 8/11

    3/2x + 1 = x/4 - 1

    3/2x - x/4 = - 1 - 1

    6/4x - x/4 = - 4/4 - 4/4

    6x - x = - 8

    5x = - 8

    x = - 8/5

    F) 3x + 7 (8 - x) + 4 = 60 + x

    3x + 56 - 7x + 4 = 60 + x

    3x - 7x - x = 60 - 56 - 4

    - 5x = 0

    x = 0

    G) 5 (x - 2) + 2 (1 - 3x) = 7x + 12

    5x - 10 + 2 - 6x = 7x + 12

    5x - 6x - 7x = 12 + 10 - 2

    - 8x = 20

    x = - 20/8

    x = - 5/2

    H) 4 (x - 1) - 3 (2 - x) = 2

    4x - 4 - 6 + 3x = 2

    4x + 3x = 2 + 4 + 6

    7x = 12

    x = 12/7.

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