Matematika

Pertanyaan

Substitusikan
2x-y+z=6
X-3y+z=-2
X+2y-z=3

1 Jawaban

  • 2x - y + z = 6 ... (1)
    x - 3y + z = -2 ... (2)
    x + 2y - z = 3 ... (3)

    persamaan (1) - (pers (2) + (3)) = 6 - (-2 + 3)
    (2x - y + z) - (2x - y + 0) = 6 - 1
    z = 5

    Kurangkan pers (2) dan (3)
    (2) - (3) = -2 - 3
    -5y + 2z = -5
    -5y = -5 - 10
    y = 3

    x + 2y - z = 3
    x = 3 - 2y + z
    x = 2

    (x , y , z) = (2 , 3 , 5)

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