Matematika

Pertanyaan

nila x yang memenuhi sistem persamaan:2x+y-z=1,x+2y+3z=14,3x-y+2z=7

1 Jawaban

  • 2x + y - z = 1
    x + 2y + 3z = 14
    3x - y + 2z = 7


    persamaan 1 & 2

    2x + y - z = 1 |×2|
    x + 2y + 3z = 14 |×1|

    4x + 2y - 2z = 2
    x + 2y + 3z = 14
    ____________-
    3x - 5z = -12 (1)


    persamaan 2 & 3

    x + 2y + 3z = 14 |×1|
    3x - y + 2z = 7 |×2|

    x + 2y + 3z = 14
    6x - 2y + 4z = 14
    _____________+
    7x + 7z = 28 (bisa dibagi 7)
    x + z = 4 (2)


    … (1) & … (2)

    3x - 5z = -12 |×1|
    x + z = 4 |×5|

    3x - 5z = -12
    5x + 5z = 20
    __________+
    8x = 8
    x = 1

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