Mathématiques

Question

resoudre l'equation
6-x=5-4x          8y-7=-12y+2


5(2x-1)=2-(x-3)
5-2(x++3)=3-x
8(x-2)=4(2x-4)-3x
3(-x+7)=-7(x+3)
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1 Réponse

  • 6 - x = 5 - 4x
    -x + 4x = -6 + 5
    3x = -1
    x = - 1/3

    8y - 7 = - 12y + 2
    8y + 12y = +7 + 2
    20 y = +9 
    y = 9/20

    5(2x - 1) = 2 -(x - 3)
    10x - 5 = 2 - x + 3
    10x + x = +5 + 2 + 3
    11 x = 10
    x = 10/11

    5 -2(x + 3) = 3 - x
    5 -2x -6= 3 - x
    5 - 6 - 3 = + 2x - x
    - 4 = 1x
    -4 = x

    8(x - 2) = 4(2x - 4) - 3x
    8x - 16 = 8x -16 -3x
    8x -8x +3x = +16 -16
    3x = 0
    x = 0/3
    x = 0

    3(-x +7) = -7(x + 3)
    -3x + 21 = -7x -21
    21 + 21 = +3x -7x
    42 = -4x
    +4x = -42
    x = -42/4
    x = -21/2

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