Matematika

Pertanyaan

tolong dibantu ya dikumpulkan sekarang makasih :)
tolong dibantu ya dikumpulkan sekarang makasih :)

1 Jawaban

  • 1) 2x - 4y = 6 |×5
    3x + 5y = 12 |×4
    maka
    10x - 20y = 30
    12x + 20y = 48
    ----------------------(+)
    22x = 78
    x = 78/22
    x = 39/11
    • 2x - 4y = 6 |×3
    3x + 5y = 12 |×2
    maka
    6x - 12y = 18
    6x + 10y = 24
    -------------------(-)
    - 22y = - 6
    y = -6/-22
    y = 3/11
    hp = ( 39/11 , 3/11)

    2) 2x - y + z = 6
    x - 3y + z = - 2
    -----------------------(-)
    x + 2y = 8 ... pers 1
    2x - y + z = 6
    x + 2y - z = 3
    -------------------(+)
    3x + y = 9 ... pers 2
    pers 1 & 2
    x + 2y = 8
    3x + y = 9 |×2
    maka
    x + 2y = 8
    6x + 2y = 18
    -----------------(-)
    - 5x = - 10
    x = 2
    subtitusi
    x + 2y = 8
    2 + 2y = 8
    2y = 8 - 2
    y = 6 ÷ 2
    y = 3
    subtitusi
    2x - y + z = 6
    2(2) - 3 + z = 6
    4 - 3 + z = 6
    z = 6 - 1
    z = 5
    hp = ( 2, 3 , 5 )