Mathématiques

Question


a) -3x+5=x-3
b)7x-5=-3(5x-4)
c)-4(5x-6)+9=-10x-18
d)7x+4(-2x+3)=-5x-3
e)-2(-3x-1)+8x-6=7x-(5-x)
f)3 sur4x+2 sur 3=2x+7 sur6

2 Réponse

  • a)
    - 3x + 5 = x - 3
    - 3x - x = - 3 - 5
    - 4x = - 8
    x = 8/4
    x = 2

    b)
    7x - 5 = - 3 (5x - 4)
    7x - 5 = - 15x + 12
    7x + 15x = 12 + 5
    22x = 17
    x = 17/22

    c)
    - 4 (5x - 6) + 9 = - 10x - 18
    - 20x + 24 + 9 = - 10x - 18
    - 20x + 10x = - 18 - 24 - 9
    - 10x = - 51
    x = 51/10

    d)
    7x + 4 (- 2x + 3) = - 5x - 3
    7x - 8x + 12 - 5x - 3
    7x - 8x - 5x = - 3 - 12
    - 6x = - 15
    x = 15/6

    e)
    - 2 (- 3x - 1) + 8x - 6 = 7x - (5 - x)
    6x + 2 + 8x - 6 = 7x - 5 + x
    6x + 8x - 7x - x = - 5 - 2 + 6
    6x = - 1
    x = - 1/6

    f)
    3/4x + 2/3 = 2x + 7/6
    9/12x + 8/12 = 24/12x + 14/12
    9/12x - 24/12x = 14/12 - 8/12
    - 15/12x = 6/12
    - x = 6/12 x 12/15
    - x = 72/180
    x = - 2/5
  • a) -3x+5=x-3
    -3x-x = -3-5
    -4x =-8
    x = -8/-4
    x = 2

    b)7x-5=-3(5x-4)
    7x-5 = -15x+12
    7x+15x = 12+5
    22x = 17
    x = 17/22

    c)-4(5x-6)+9=-10x-18
    -20x+24 = -10x-18
    -20x+10x = -24-18
    -10x = -42
    x = -42/-10
    x = 42/10

    d)7x+4(-2x+3)=-5x-3
    7x-8x+12 =  -5x-3
    -x+12 = -5x-3
    -x+5x = -12-3
    4x = -15
    x = -15/4
    e)-2(-3x-1)+8x-6=7x-(5-x)
    6x+2+8x-6 = 7x-5+x
    14x-4 = 8x-5
    14x-8x = -5+4
    6x = -1
    x = -1/6
    f)3 sur4x+2 sur 3=2x+7 sur6
    3/4x + 2/3 = 2x + 7/6
    3*3/3*4x +  2*4x/3*4x = 12x/6 +7/6
    (9+8x)/12x = (12x+7)/6
    (9+8x)/2x = 12x+7
    9+8x = 2x(12x+7)
    9+12x = 24x
    ²+14x
    24x²+14x-12x-9 = 0
    24x²+2x-9 = 0

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