Matematika

Pertanyaan

Tentukan nilai x,y dan z dari SPL 3 variabel berikut

1. 2x + y - z = 2
x + 2y + 3z = 1
3x - y + 2z = 3

1 Jawaban

  • 2x + y - z = 2
    x + 2y + 3z = 1
    3x - y + 2z = 3

    2x + y - z = 2
    x + 2y + 3z = 1


    2x + y   -  z  = 2
    2x + 4y + 6z = 2
    _____________  _
    -3y - 7z = 0

    3x + 6y + 9z = 3
    3x - y + 2z = 3
    _____________ _
    7y + 7z = 0


    -3y - 7z = 0
    7y +  7z = 0
    __________ +
    4y = 0
    y = 0

    -3y - 7z = 0
    -3(0) - 7z = 0
    0 - 7z = 0
    z = 0

    2x + y - z = 2
    2x + 0 - 0 = 2
    2x = 2
    x = 1

    x, y, z = 1, 0, 0


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