Mathématiques

Question

Résous les équations suivantes : exercice 11 pages 100

1 Réponse

  • 4(x + 5) = 10x + 3
    4x + 20 = 10x + 3
    20 - 3 = 10x - 4x
    17 = 6x
    17/6 = x

    3(x - 2) = 6(x + 4)
    3x - 6 = 6x - 24
    - 6 + 24 = 6x - 3x
    18 = 3x
    18/3 = x
    6 = x

    7x - (5x + 3) = 5(x - 3) + 2
    7x - 5x - 3 = 5x - 15 + 2
    - 3 + 15 - 2 = 5x - 7x + 5x
    10 = 3x
    10/3 = x

    7(n + 2) - 3 = 25 - (3n + 4)
    7n - 14 - 3 = 25 - 3n - 4
    7n + 3n = 25 - 4 + 3 + 14
    10n = 38
    n = 38/10
    n = 19/5

    4y + 3(4y - 2) = 3(y + 1)
    4y + 12y - 6 = 3y + 3
    4y + 12y - 3y = 3 + 6
    13y = 9
    y = 9/13

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