Matematika

Pertanyaan

1/2x–1/4y=1/4 ; 1/3x–1/2y=-5/6,
Nilai x–y adalah...

1 Jawaban

  • eliminasi y
    1/2x-1/4y=1/4 |×4| 2x -y=1
    1/3x-1/2y=-5/6 |×2| 2/3x-y=-10/6
    ___________ -
    4/3x =16/6
    x = (16/6)×(3/4)
    x = 2
    subtitusi x ke persamaan
    1/2x-1/4y=1/4
    1 -1/4y=1/4
    y=(1/4-1)/-1/4
    y=3

    x-y = 2-3 = -1

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