Mathématiques

Question

résoudre chaque équation:

(les signes "x" ne sont pas les signes de multiplications mais la lettre X)

a) 5x-3=6-3x
b) 7-4x=-3+2x
c) 3(5-2x)=7-4x
d) 3-(2x-4)=x+7

1 Réponse

  • a) 5x - 3 = 6 - 3x
    5x + 3x = 6 + 3
    8x = 9
    x = 9/8
    x = 1,125

    b) 7 - 4x = - 3 + 2x
    - 4x - 2x = - 3 - 7
    - 6x = - 10
    x = - 10 / (- 6)
    x = 10/6
    x = [tex] \frac{10 / 2}{6 / 2} [/tex]
    x = 5/3

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

    d) 3 - (2x - 4) = x + 7
    3 - 2x + 4 = x + 7
    - 2x - x = 7 - 4 - 3
    - 3x = 0
    x = - 0/3
    x = 0

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