Matematika

Pertanyaan

Tentukan Himpunan penyelesaian dari 3x+1y+2z=590.000
x+y+z=310.000
x+y+3z=510.000

1 Jawaban

  • 3x+y+2z=590.000.....(1)
    x+y+z =310.000........(2)
    x+y+3z =510.000.......(3)

    persamaan (1 & 2)
    3x+y+2z=590.000
    x+y+ z=310.000
    -------------------------- -
    2x+z=280.000......(4)

    persamaan (3 & 2)
    x+y+3z=510.000
    x+y+z =310.000
    ---------------------------- -
    2z=200.000
    z =100.000

    2x+z=280.000
    2x=280.000 - z(100.000)
    2x=180.000
    x=90.000

    x+y+z=310.000
    y=310.000 -x(90.000) - z(100.000)
    y=120.000

    jadi: x=90.000
    y=120.000
    z=100.000

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