Matematika

Pertanyaan

soal sistem persamaan linear tiga variabel

1 Jawaban

  • Contoh:
    4x + 3y - z = 24
    2x + y - 2z = 30
    X + 4y + z = 16

    4x + 3y - z = 24 (x1)
    2x + y - 2z = 30 (x2)
    Jadi,
    4x + 3y - z = 24
    4x + 2y - 4z = 60
    ______________-
    y + 3z = -36

    4x + 3y - z = 24 (x1)
    X + 4y + z = 16 (x4)

    Jadi,
    4x + 3y - z = 24
    4x + 16y - 4z = 64
    _______________-
    -13y + 3z = -40

    y + 3z = -36
    -13y + 3z = -40
    ____________-
    14y = 4
    y = 0,28

    y + 3z = -36
    0,28 + 3z = -36
    3z = -36,28
    z = -12

    4x + 3y - z = 24
    4x + 3(0,28) - (-12) = 24
    4x + 0.84 + 12 = 24
    4x + 12,84 = 24
    4x = 11,16
    x = 2,79

    SPLTV { 2,79 ; 0,28 ; -12 }

    Semoga membantu :-)

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