Mathématiques

Question

Bonjour j’aurais besoin d’aide pour les équations svp :
A : 2+16x = 3 + 15x
B : 3x -14 = 9 -2x
C : 5x + 6 = 12 + 15x
D : 5x + 1 = 2x + 19
E : 8x + 3 = x + 15
F : 2x + 3 = 6x +11

Donnez les détails si possible. Merci à ceux qui m’aideront

2 Réponse

  • Bonsoir,

    A. 2 + 16x = 3 + 15x
    16x - 15x = 3 - 2
    x = 1

    B. 3x -14 = 9 -2x
    3x + 2x = 14 + 9
    5x = 23
    x = 23/5

    C. 5x + 6 = 12 + 15x
    5x - 15x = 12 - 6
    -10x = 6
    x = 6/-10

    D. 5x + 1 = 2x + 19
    5x - 2x = 19 - 1
    3x = 18
    x = 18/3
    x = 6

    E. 8x + 3 = x + 15
    8x - x = 15 - 3
    7x = 12
    x = 12/7

    F. 2x - 6x = 11 - 3
    -4x = 8
    x = 8/-4
    x = -2
  • Réponse:

    A : 2 + 16x = 3 + 15x

    -2 -2

    16x = 1 + 15x

    -15x -15x

    x = 1

    B: 3x - 14 = 9 - 2x

    +14 +14

    3x = 23 - 2x

    +2x +2x

    5x = 23

    ÷5 ÷5

    x = 23/5

    C: 5x + 6 = 12 + 15x

    -6 -6

    5x = 6 + 15x

    -15x -15x

    -10x = 6

    ÷(10) ÷(10)

    x = 6/-10

    D: 5x +1 = 2x + 19

    -1 -1

    5x = 2x + 18

    -2x -2x

    3x = 18

    ÷3 ÷3

    x = 3

    E : 8x +3 = x + 15

    -3 -3

    8x = 12

    ÷8 ÷8

    x = 1,5

    F : 2x + 3 = 6x + 11

    -11 - 11

    2x - 8 = 6x

    -2x -2x

    -8 = 4x

    ÷4 ÷4

    -2 = x

    Bonne soirée

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