Mathématiques

Question

1)   8x-3/4=2x-1/4

2)   24/7x+1/14=3/28

3)   2x-3/7=5x-7/2

mrc d'avance !

2 Réponse

  • 1)   8x-3/4=2x-1/4
    8x - 3/4 - 2x = -1/4
    6x = -1/4 + 3/4
    6x = 2/4
    x = (2/4)/6
    x = 3

    2)   24/7x+1/14=3/28
    24/7x = 3/28 - 1/14
    24/7x = 3/28 - 2/28
    24/7x = 1/28
    x = (1/28)/(24/7)
    x = 1/96

    3)   2x-3/7=5x-7/2

    -3/7 = 5x - 7/2 - 2x
    -3/7 + 7/2 = 3x
    -6/14 + 49/14 = 3x
    43/14 = 3x
    x = (43/14)/3
    x = 43/42

  • 1 ) 8 x -(3/4) = 2 x -(1/4)

         8 x - 2 x = -(1/4) + (3/4)

       6 x = 2/4 ou 1/2

        x = (1/2) / 6

       x = (1/2) x (1/6)

    x = 1/12


    2) (24/7) x + (1/14) = 3/28

       (24/7)x  = (3/28) - (1/14)

    (24/7) x = (3/28) - (2/28)

    (24/7)x = 1/28

     x = (1/28) / (24/7)

    x = (1/28) x (7/24) -----------j'ai simplifié (1/4) x (1/24)

    x = 1/96


    3)  2x - (3/7) = 5x - (7/2)

        -(3/7) = 5x - 2x-(7/2)

    -(3/7) = 3x -(7/2)

    -(3/7)+(7/2) = 3x

    -(6/14) + (49/14) = 3x

    (43/14) = 3x

    (43/14) / 3 = x

    (43/14) x (1/3) = x

    (43/42) = x


    voilà

      

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