Mathématiques

Question

resoudre avec les fraction
1. -1/2x+3=x-7
2. 3/2x+4=2x-5
3. 3x+5=-7/9
4. 7x-1/4=5/11
5. x-1/4-5=2x-3/2+3/4
6. 2x/7-6/5=9/10
7. x/3+9/4=-5x/6+15/2
8. 2x+3/6-x-1/6=x+2/3+2
9. 3-2x/5-x-2/10=5x+2/2-1/5
10. (produit en croix) 2x+3/2=7x-2/3
merci d'avance

1 Réponse

  • Bonsoir,

    1. -1/2x+3=x-7
    0,5x - x = - 7 - 3
    - 0,5x = - 10
    x = 10/0,5
    x = 20

    2. 3/2x+4=2x-5
    1,5x - 2x = - 5 - 4
    - 0,5x = - 9
    x = 9/0,5
    x = 18

    3. 3x+5=-7/9
    27/9x + 45/9 = - 7/9
    27x = - 7 - 45
    27x = - 52
    x = - 52/27

    4. 7x-1/4=5/11
    7x = 5/11 + 1/4
    308/44x = 20/44 + 11/44
    308x = 20 + 11
    308x = 31
    x = 31/308

    5. x-1/4-5=2x-3/2+3/4
    4/4x - 8/4x = - 6/4 + 3/4 - 1/4 - 20/4
    4x - 8x = - 27 + 3
    - 4x = - 24
    x = 24/4
    x = 6

    6. 2x/7-6/5=9/10
    20/70x - 84/70 = 63/70
    20x = 63 + 87
    20x = 150
    x = 150/20
    x = 7,5

    7. x/3+9/4=-5x/6+15/2
    8/24x + 54/24 = - 20/24x + 180/24
    8x + 20x = 180 - 54
    28x = 126
    x = 126/28
    x = 4,5

    8. 2x+3/6-x-1/6=x+2/3+2
    12/6x + 3/6 - 6/6x - 1/6 = 6/6x + 4/6 + 12/6
    12x - 6x - 6x = 4 + 12 - 3 + 1
    0x = impossible

    9. 3-2x/5-x-2/10=5x+2/2-1/5
    30/10 - 4/10x - 10/10x - 2/10 = 50/10x + 10/10 - 2/10
    - 4x - 10x - 50x = 10 - 2 - 30 + 2
    - 64x = 20
    x = - 20/64
    x = - 0,3125

    10. 2x+3/2=7x-2/3
    12/6x + 9/6 = 42/6x- 4/6
    12x - 42x = - 4 - 9
    - 30x = - 13
    x = 13/30

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