Matematika

Pertanyaan

tolong ya kawan itu pake cara campuran no 1 dan 2 saja
tolong ya kawan itu pake cara campuran no 1 dan 2 saja

1 Jawaban

  • No.1
    x+y-z = 0............(1)
    x-y-z = 4.............(2)
    x+2y+z = -4........(3)
    Eliminasi x dan z dari pers (1) & (2)
    x+y-z = 0
    x-y-z = 4
    _________-
    2y = -4
    y = -2
    Subtitusi y ke pers (3) & (2) kemudian eliminasi x
    x+2y+z = -4 => x-4+z = -4. => x+z = 0
    x-y-z = 4 => x+2-z = 4 => x-z = 2
    __________-
    2z = -2
    z = -1
    Subtitusi y dan z ke pers (1)
    x+y-z = 0
    x-2+1 = 0
    x-1 = 0
    x = 1
    HP{1, -2, -1}

    No.2
    x+3y-z = 13.........(1)
    3x+y-z = 11.........(2)
    x+y-3z = 11.........(3)
    Eliminasi z dari pers (1) & (2)
    x+3y-z = 13
    3x+y-z = 11
    _____________-
    -2x+2y = 2.......(4)
    Eliminasi z dari pers (2) & (3)
    3x+y-z = 11 |×3| 9x+3y-3z = 33
    x+y-3z = 11 |×1| x+y-3z = 11
    ________________-
    8x+2y = 22.......(5)
    Eliminasi y dari pers (4) & (5)
    -2x+2y = 2
    8x+2y = 22
    ____________-
    -10x = -20
    x = 2
    Subtitusi x ke pers (2) & (3) kemudian eliminasi y
    x+y-3z=11 => 2+y-3z = 11 => y-3z = 9
    3x+y-z=11 => 6+y-z = 11 => y-z = 5
    _____________-
    -2z = 4
    z = -2
    Subtitusi x dan z ke pers (1)
    x+3y-z = 13
    2+3y+2 = 13
    3y = 9
    y = 3

    Nilai 2x+2y-6z = 2(2)+2(3)-6(-2)
    = 4+6+12
    = 22