Mathématiques

Question

bonjour merci de m'aider !! ​
bonjour merci de m'aider !! ​

2 Réponse

  • Bonjour

    x - y = 4

    2 x + 5 y = - 6

    x  - y  =  4  ⇔ x = 4 + y

    2 ( 4 + y ) + 5 y = - 6

    8 + 2 y + 5 y = - 6

    7 y = - 6 - 8

    7 y = - 14

    y = - 2

    x - ( - 2 ) = 4

    x + 2 = 4

    x =  2

    S ( 2 : - 2 )

    3 a + b = 3

    5 a + 2 b = - 24

    3 a + b = 3 ⇔ b = 3 - 3 a

    3 a + 2 ( 3 - 3 a ) = - 24

    3 a + 6 - 6 a = - 24

    - 3 a = - 24 - 6 = - 30

    - 3 a = - 30

    a = 10

    3*10 + b = 3

    b = 3 - 30 = - 27

    S ( 3 : - 27 )

  • Bonsoir,

    Résoudre les systèmes :

    1)

    L1 : { x - y = 4

    L2 : { 2x + 5y = -6

    L1: x - y = 4

    x = 4 + y

    L2: 2x + 5y = -6

    2(4 + y) + 5y = -6

    8 + 2y + 5y = -6

    7y + 8 = -6

    7y = -14

    y = -14/7

    y = -2

    L1: x - y = 4

    x - (-2) = 4

    x + 2 = 4

    x = 2

    y = -2

    x = 2

    2)

    L1: { 3a + b = 3

    L2: { 5a + 2b = -4

    L1: 3a + b = 3

    b = 3 - 3a

    L2: 5a + 2b = -4

    5a + 2(3 - 3a) = -4

    5a + 6 - 6a = -4

    -a + 6 = -4

    -a = -10

    a = 10

    L1: 3a + b = 3

    3*10+ b = 3

    30 + b = 3

    b = -27

    a = 10

    b = -27

    Bonne soirée.