Mathématiques

Question

Bonjour j'ai besoin d'aide pour cet exercice en maths.

0.8x+2y÷3=2.
6x+5y=15.

b) 4x +3y=11
3x+4=2y

1 Réponse

  • a) 0.8x + 2y / 3 = 2
    6x + 5y= 15

    0.8x +2/3y = 2
    8/10x =  2 -2/3y
    x = 2*10/8 - 2/3y*10/8
    x = 20/8 - 20/24 y
    x = 5/2 - 5/6y

    donc
    6x+5y =15
    6 (5/2 -5/6y) =15
    30/2 -5y = 15
    15 - 5 y =15
    -5y = 15-15
     y = 0 /-5
    y = 0

    si y = 0
    alors 0.8x +2/3y =2
    0.8x +2/3*0 y=2
    0.8x + 0 = 2
    8/10 x =2
    x = 2*10/8
    x =20/8
    x = 5/2


    b) 4x = 3y =11
       3x +4 = 2y

    4x = 3y -11
    x = 3/4y -11/4

    3x +4 = 2y
    3(3/4y-11/4) +4 =2y
    9/4 y -33/4 +4 -2y =0
    9/4y -2y = 33/4 -4
    9/4y -8/4y = 33/4 -16/4
    1/4 y = 17/4
    y = 17/4 * 4
    y = 17


    3x +4 = 2y
    3x +4 = 2*17
    3x = 34 -4
    3x = 30
    x =30/3
    x =10

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