Matematika

Pertanyaan

2x-y+z=6 x-3y+z=-2 x+2y-z=3 tiga variabel

1 Jawaban

  • eleminasi z
    pers1&2
    2x-y+z=6 - x-3y+z=-2
    =x+2y=8....pers4
    pers2&3
    x-3y+z=-2 + x+2y-z=3
    =2x-y=1....pers5

    eleminasi pers 4&5
    x+2y=8|x2| - 2x-y=1|x1|
    2x+4y=16 - 2x-y=1
    =5y=15
    = y=3

    subs.y=3 ke pers.5
    2x-y=1
    2x-3=1
    2x=1+3
    x=2

    subs x=2,y=3 ke pers.1
    2x-y+z=6
    4-3+z=6
    z=6-1
    z=5

    Hp={2,3,5}

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