Mathématiques

Question

Résoudre les équations:
1°) 4(-2x + 5) = -7(3x -1)

2) 6/x = 5/7

3) (4x - 3)/5 = (3x + 2)/3

4) (3x - 5)/ (2x +6) = (6x-7)/ (4x + 18

1 Réponse

  • 1°) 4(-2x + 5) = -7(3x -1)
    -8x+20 = -21x+7
    21x-8x = 7-20
    13x = -13
    x = -13/13
    x = -1

    2) 6/x = 5/7
    6*7 = 5x
    5x = 42
    x = 42/5

    3) (4x - 3)/5 = (3x + 2)/3
    3(4x-3) = 5(3x+2)
    12x-9 = 15x+10
    15x-12x = -9-10
    3x = -19
    x = -19/3

    4) (3x - 5)/ (2x +6) = (6x-7)/ (4x + 18)
    (3x-5)(4x+18) = (2x+6)(6x-7)
    12x
    ²+54x-20x-90 = 12x²-14x+36x-42
    12x²+34x-90 = 12x²+22x-42
    34x -90 = 22x-42
    34x-22x = 90-42
    12x = 48
    x = 48/12
    x = 4

Autres questions