Matematika

Pertanyaan

2p-q-2r=3......Pers 1
p+2q+4r=4.....Pers 2
p-q-3r=2.........Pers 3

Tolong Di Jawab Dengan Cara Eliminasi.

1 Jawaban

  • Eliminasi Persamaan (1) dan (2)
    2p - q - 2r = 3 ----- (×1)
    p + 2q + 4r = 4 ---- (×2)

    2p - q - 2r = 3
    2p + 4q + 8r = 8
    _____________-
    -4q - 10r = -5
    4q + 10r = 5

    Eliminasi Persamaan (1) dan (3)
    2p - q - 2r = 3 ----- (×1)
    p - q - 3r = 2 ------- (×2)

    2p - q - 2r = 3
    2p - 2q - 6r = 4
    ____________-
    q + 4r = -1

    Eliminasi Persamaan (1) dan (2) dengan (1) dan (3)
    4q + 10r = 5 --- (×1)
    q + 4r = -1 ------ (×4)

    4q + 10r = 5
    4q + 16r = -4
    __________-
    -6r = 9
    r = - 3/2

    q + 4r = -1
    q = -1 + 4(- 3/2)
    q = -1 - 6
    q = -7

    p - q - 3r = 2
    p = 2 + q + 3r
    p = 2 + (-7) + 3(-3/2)
    p = -5 - 9/2
    p = -10/2 - 9/2
    p = -19/2

    HP {p , q , r}
    HP {-19/2 , -7 , -3/2}

    Semoga berguna +_+

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