Matematika

Pertanyaan

Tentukan himpunan penyelesaian dari persamaan x + y + z = -1 , x + 2y + 3z =5 ,dan 3x -2y-z=9

1 Jawaban

  • x + y + z = -1
    x + 2y + 3z = 5
    --------------- -
    -y -2z = -6
    -2z = -6 + y
    z = 3 - y/2

    x + y + z = -1
    x + y + 3 -y/2 = -1
    2x + 2y + 6 -y = -2
    2x + y = -8
    x + y/2 = -4
    x = -4 - y/2

    x + y + z = -1
    -4 -y/2 + y + 3 -y/2 = -1
    -8 -y + 2y + 6 -y = -2
    0

    hp{-4 -y/2, 0, 3 -y/2}

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