Mathématiques

Question

Bonjour,Exercice 3 : Résoudre les équations suivantes :
a) 3 x=2 x+5 b) 4−5 x=9 x
c) 4 x+2=x+11 d) 3 x−7=−2 x−9
e) 5 x−1=7 x−1 f) 3 x−2+x=6+4 x

1 Réponse

  • Bonjour,

    a) 3x = 2x + 5

    3x - 2x = 5

    x = 5

    b) 4 - 5x = 9x

    4 = 9x + 5x

    4 = 14x

    x = 14/4 = 7/2 = 3,5

    c) 4x + 2 = x + 11

    4x - x = 11 - 2

    3x = 9

    x = 9/3 = 3

    d) 3x - 7 = - 2x - 9

    3x + 2x = - 9 + 7

    5x = - 2

    x = -2/5

    e) 5x - 1 = 7x - 1

    7x - 5x = 1 - 1

    x = 0

    f) 3x - 2 + x = 6 + 4x

    4x - 2 = 4x + 6

    - 2 # 6 => Impossible

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