Matematika

Pertanyaan

5) x – y + 2z = 9
x – 2y + 3z = 1
2x - 2y – z = 15
Tentukan nilai x, y dan z ?

1 Jawaban

  • x - y + 2z = 9 ---(1)
    x - 2y + 3z = 1 ---(2)
    2x - 2y - z = 15 ---(3)
    [Jawab]
    (1) × 2 = 2x - 2y + 4z = 18 ---(1)'
    (2) - (1)' = - x - z = -17 ---(4)
    (2) - (3) = - x + 4z = - 16 ---(5)
    -------------------- -
    -5z = -1
    z = 1/5
    Masukan ke (4)
    - x - 1/5 = - 17
    - x = - 85/5 + 1/5
    - x = -84/5
    x = 84/5
    Masukan ke (1)
    84/5 - y + 2/5 = 9
    -y = 9 - 2/5 - 84/5
    -y = 45/5 - 2/5 - 84/5
    -y = 42/5 - 84/5
    -y = - 42/5
    y = 42/5
    Jadi (x,y,z) = (84/5,42/5,1/5)
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    Maaf kalo jawabnya salah

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