Mathématiques

Question

bjr vous pourrez m'aider

resoudre chaque équation. a) 5(x+3)=3+(2x-6) b) x+3/3-4x-1/6=3+x/3 c)-2(2x-4)=6x-(-3+x) d)4x-2+(5x-1)=-3(7-x) e)x+5/2-2x-7/5=2+3x/10 MERCI

1 Réponse

  • Bonjour,

    a) 5(x+3)=3+(2x-6)
    5x + 15 = 3 + 2x - 6
    5x - 2x = 3 - 6 - 15
    3x = - 18
    x = - 18/3
    x = - 6

    b) x+3/3-4x-1/6=3+x/3
    6/6x + 6/6 - 24/6x - 1/6 = 18/6 + 2/6x
    6x + 6x - 24x - 1 = 18 + 2x
    6x+ 6x - 24x - 2x = 18 + 1
    14x = 19
    x = 19/14

    c)-2(2x-4)=6x-(-3+x)
    - 4x + 8 = 6x + 3 - x
    - 4x - 6x + x = 3 - 8
    - 9x = - 5
    x = 5/9

    d)4x-2+(5x-1)=-3(7-x)
    4x - 2 + 5x - 1 = - 21 + 3x
    4x + 5x - 3x = - 21 + 2 + 1
    6x = - 18
    x = - 18/6
    x = - 3

    e)x+5/2-2x-7/5=2+3x/10 
    10/10x + 25/10 - 20/10x - 14/10 = 20/10 + 3/10x
    10x + 25 - 20x - 14 = 20 + 3x
    10x - 20x - 3x = 20 - 25 + 14
    - 13x = - 9
    x = 9/13

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