Mathématiques

Question

Résoudre chaque système par la combinaison
Quelqu'un saurait m'aider svp?
Résoudre chaque système par la combinaison Quelqu'un saurait m'aider svp?

2 Réponse

  • - x + 10y = - 1
    2x + 5y = 8

    - x = - 1 - 10y
    x = 1 + 10y

    2x + 5y = 8
    2 (1 + 10y) + 5y = 8
    2 + 20y + 5y = 8
    20y + 5y = 8 - 2
    25y = 6
    y = 6/25

    x = 1 + 10y
    x = 1 + 10 * 6/25
    x = 1 + 60/25
    x = 1 + 2,4
    x = 3,4

    ===================================================
    2x - 9y = 3
    - 10x + 7y = - 4

    14x - 63y = 21
    - 90x + 63y = - 36
    - 76x = - 36
    x = 36/76
    x = 9/19

    2x - 9y = 3
    2 * 9/19 - 9y = 3
    18/19 - 9y = 3
    - 9y = 3 - 18/19
    - 171/19y = 57/19 - 18/19
    - 171/19y = 39/19
    - 171y = 39
    y = - 39/171
    y = - 13/57

  • Exercice 71 :


    B-
    - x + 10y = - 1
    2x + 5y = 8

    - x = - 1 - 10y
    2x + 5y = 8

    x = 1 + 10y
    2x + 5y = 8


    x = 1 + 10y
    2 (1 + 10y) + 5y = 8

    x = 1 + 10y
    2 + 20y + 5y = 8

    x = 1 + 10y
    25y = 8 - 2

    x = 1 + 10y
    25y = 6

    x = 1 + 10y
    y =6/25


    x = 1 + 10y
    y =6/25

    x = 1 +10(6/25)
    y =6/25



    x = 1 + 60/25
    y =6/25


    x = 25/25 + 60/25
    y =6/25


    x = 85/25
    y = 6/25


    x = 17/5
    y = 6/25







    Exercice 72 :

    B-

    2x - 9y = 3
    -10x + 7y = -4

    x - 4,5y = 1,5
    -10x + 7y = -4


    x = 1,5 + 4,5y
    -10x + 7y = -4


    x = 1,5 + 4,5y
    -10(
    1,5 + 4,5y) + 7y = -4

    x = 1,5 + 4,5y
    -
    15 - 45y + 7y = -4

    x = 1,5 + 4,5y
    - 38y = - 4
    + 15

    x = 1,5 + 4,5y
    - 38y = 11


    x = 1,5 + 4,5y
    y = -11/
    38


    x = 1,5 + 4,5(-11/38)
    y = -11/
    38

    x = 1,5 - 49,5/38
    y = -11/
    38



    x = 57/38 - 49,5/38
    y = -11/
    38



    x = 7,5/38
    y = -11/
    38


    x = 75/380
    y = -11/
    38


    x = 15/76
    y = -11/
    38