Mathématiques

Question

Résoudre chaque équation . Merci
a) 3 ( x - 1 ) + 2 ( x + 3 ) = 0
b) - 5 ( x + 2 ) + 3 ( x - 3 ) = 7
c) 4 ( - x + 1 ) - 2 ( 3 x - 5 ) = 0
d) 7 ( 2 x - 6 ) - 4 ( 5 x - 8 ) = - 5 x

1 Réponse

  • a. 3 (x - 1) + 2 (x + 3) = 0
    3x - 3 + 2x + 6 = 0
    5x = - 6 + 3
    5x = - 3
    x = - 3/5
    x = - 0,6

    b. - 5 (x + 2) + 3 (x - 3) = 7
    - 5x - 10 + 3x - 9 = 7
    - 2x = 7 + 9 + 10
    - 2x = 26
    x = - 26/2
    x = - 13

    c. 4 (- x + 1) - 2 (3x - 5) = 0
    - 4x + 4 - 6x + 10 = 0
    - 10x = - 10 - 4
    - 10x = - 14
    x = - 14 / (- 10)
    x = 1,4

    d. 7 (2x - 6) - 4 (5x - 8) = - 5x
    14x - 42 - 20x + 32 = - 5x
    - 6x + 5x = - 32 + 42
    - x = 10
    x = - 10

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