Matematika

Pertanyaan

Selesaikan kelompok tiga persamaan dengan variabel tidak diketahui berikut :
2x + 3y - z = - 5
x-4y+2z = 21
5x + 2y - 3z = - 4

1 Jawaban

  • 2x + 3y - z = -5
    x - 4y + 2z = 21 (dikalikan 2)
    2x + 3y -z = -5
    2x - 8y + 4z = 42
    lalu x dieliminasi
    11y - 5z = -47

    x - 4y + 2z = 21 (dikalikan 5)
    5x + 2y - 3z = -4
    5x - 20y + 2z = 105
    5x + 2y - 3z = -4
    lalu x dieliminasi
    -22 y + 5z = 109

    -22y + 5z = 109
    11 y - 5z = -47 (dikalikan 2)
    -22y + 5z = 109
    22 y - 10z = -94
    lalu y dieliminasi dngn cara dijumlahkan
    -5z = 15
    z = -3

    11y - 5z = -47
    11y - 5(-3) = -47
    11y + 15 = -47
    11y = -62
    y = -62/11
    y = -5 7/11

    5x + 2y -3z = -4
    5x -124/22 + 9 = -4
    5x -124/22 = -13
    5x = -13 + 124/22
    5x = -286/22 + 124/22
    5x = -162/22
    x = -81/11 : 5
    x = -81/55
    x = -1 26/55

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