Mathématiques

Question

Résoudre Les équations Suivantes :
A ) -3x + 5 = 35
B ) 2 sur 3x + 1 sur 8 = 9
C ) x sur 5 = 4 sur 3
D ) 2x-1 sur 4 = 7 sur 5
E ) -3x - 7 = -x + 3
F ) 6x = 2(x+3)
G ) 5x-3 sur 4 = x-5 sur 3
H ) x sur 2 - 2 sur 3 = 4x sur 3 - 1 sur 5
I ) 3-(5-x) = 3-4x
J ) 9 sur 4(x- 1 sur 2) - 1 sur 8 (x+3) = 3(x-5)

1 Réponse

  • Résoudre Les équations Suivantes :
    A ) -3x + 5 = 35
    - 3x = 35 - 5
    - 3x = 30
    x = - 30/3
    x = - 10

    B ) 2/3x + 1/8 = 9
    2/3x = 9 - 1/8
    16/24x = 216/24 - 3/24
    16x = 213
    x = 213/24
    x = 8,875

    C ) x/5 = 4/3
    3/15x = 20/15
    3x = 20
    x = 20/3

    D ) 2x - 1/4 = 7/5
    40/20x - 5/20 = 28/20
    40/20x = 28/20 + 5/20
    40/20x = 33/20
    40x = 33
    x = 33/40
    x = 0,825

    E ) -3x - 7 = -x + 3
    - 3x + x = 3 + 7
    - 2x = 10
    x = - 10/2
    x = - 5

    F ) 6x = 2(x+3)
    6x = 2x + 6
    6x - 2x = 6
    4x = 6
    x = 6/4
    x = 3/2
    x = 1,5

    G ) 5x - 3/4 = x - 5/3
    60/12x - 9/12 = 12/12x - 20/12
    60/12x - 12/12x = - 20/12 + 9/12
    48/12x = - 11/12
    48x = - 11
    x = - 11/48

    H ) x/2 - 2/3 = 4x/3 - 1/5
    15/30x - 20/30 = 40/30x - 6/30
    15/30x - 40/30x = - 6/30 + 20/30
    15x - 40x = - 6 + 20
    - 25x = 14
    x = - 14/25
    x = - 0,56

    I ) 3-(5-x) = 3-4x
    3 - 5x + x = 3 - 4x
    - 5x + x + 4x = 3 - 3
    0x = 0 - Impossible

    J ) 9/4 (x - 1/2) - 1/8 (x + 3) = 3 (x - 5)
    9/4x - 9/8 - 1/8x - 3/8 = 3x - 15
    18/8x - 9/8 - 1/8x - 3/8 = 24/8x - 120/8
    18/8x - 1/8x - 24/8x = - 120/8 + 9/8 + 3/8
    - 7/8x = - 108/8x
    - 7x = - 108
    x = 108/7

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