Matematika

Pertanyaan

6x - 5y -2z = 2
4x + y + 3z = 10
5x + 3y + 7z = 13

1 Jawaban

  • 6x - 5y - 2z = 2 ...(1)
    4x + y + 3z = 10 ...(2)
    5x + 3y + 7z = 13 ...(3)

    (1) dan (2)
    12x - 10y - 4z = 4
    12x + 3y + 9z = 30
    _______________ -
    - 13y - 13z = - 26 ...(4)

    (2) dan (3)
    20x + 5y + 15z = 50
    20x + 12y + 28z = 52
    _________________ -
    - 7y - 13z = -2 ...(5)

    (4) dan (5)
    - 13y - 13z = - 26
    - 7y - 13z = -2
    _____________ -
    - 6y = - 24
    y = 4

    - 7(4) - 13z = - 2
    -28 - 13z = - 2
    - 26 = 13z
    z = - 2

    4x + 4 + 3(- 2) = 10
    4x + 4 - 6 = 10
    4x - 2 = 10
    4x = 12
    x = 3




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