Mathématiques

Question

Résoudre les équations : 

a) -3(2x -5) = 1 -5x ; 

b) 4-7(2-x) = 5 -4x

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

d) -2(3 + x) + 2x = 6(x +2)

2 Réponse

  • Bonjour ,
    Résoudre les équations :

    a) -3(2x -5) = 1 -5x
         -6x +15 =1 - 5x
        -6x +5x = 1 - 15
         -x = -14
          x=14

    b) 4-7(2-x) = 5 -4x
        4 - 14 +7x = 5 - 4x
        7x+4x= 5 +14 - 4
        11x = 15
           x= 15/11


    c) 5(3 -2x) = (4x +1)
    15 -10x = 4x +1
    -10x -4x = 1-15
    -14x = -14
       x= -14/-14
        x= 1

    d) -2(3 + x) + 2x = 6(x +2)
    -6 -2x +2x = 6x +12
    -6= 6x +12
    -6x = 12 +6
    -6x = 18
    x= 18/ -6
    x= - 3
  • a) -3(2x -5) = 1 -5x
    -6x +15 =1 - 5x
    -6x +5x = 1 - 15
    -x = -14
     x=14

    b) 4-7(2-x) = 5 -4x
    4 - 14 +7x = 5 - 4x
    7x+4x= 5 +14 - 4                                                                                                          11x = 15
    x= 15/11


    c) 5(3 -2x) = (4x +1)
    15 -10x = 4x +1
    -10x -4x = 1-15
    -14x-14                                                                                                                             x= -14/-14
    x= 1

    d) -2(3 + x) + 2x = 6(x +2)
    -6 -2x +2x = 6x +12
    -6= 6x +12
    -6x = 12 +6
    -6x = 18
    x= 18/ -6
    x= - 3

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