Matematika

Pertanyaan

penyelesaian dari sistem......
x + y - z = - 3
x + 2y + z = 7
2x + 2y + z = 5

1 Jawaban

  • x + y - z = - 3
    x + 2y + z = 7
    __________ -
    -y - 2z = -10

    x + 2y + z = 7
    2x + 2y + z = 5
    ___________ -
    -x = 2
    x = 2

    x + y - z = - 3 | ×2 | 2x + 2y - 2z = -6
    2x + 2y + z = 5 | ×1 | 2x + 2y + z = 5
    ___________________________ -
    -3z = -11
    z = 11/3

    -y - 2(11/3) = -10
    -y - 22/3 = -10
    -y = -10 + 22/3
    -y = -10 + 7 1/3
    -y = 2 2/3
    y = -2 2/3

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