Matematika

Pertanyaan

Penyelesaian sistem persamaan linear 3variabel
X-y+x = -4
2x+y+2z =-5
3x-y-z =-6

1 Jawaban

  • x - y + z = - 4  ...(1)
    2x + y + 2z = - 5 ... (2)
    3x - y - z = - 6 ... (3)

    (1) dan (2):
    x - y + z = - 4
    2x + y + 2z = - 5
    ______________ +
    3x + 3z = - 1 ... (4)

    (2) dan (3):
    2x + y + 2z = - 5
    3x - y - z = - 6
    ______________ +
    5x + z = - 11 ... (5)

    (4) dan (5) :
    3x + 3z = - 1
    5x + z = - 11 |kali 3|
    _________________ -
    - 12x = 32
    x = - 8/3
    z = 7/3
    y = - 13/3

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