Matematika

Pertanyaan

tentukan Hp sistem persamaan berikut. 2/x - 3/y =3/2 dan 5/x +12/y=1/2

1 Jawaban

  • 2/x - 3/y = 3/2
    2y-3x / xy = 3/2
    2y-3x = 3xy/2
    4y-6x = 3xy
    ...
    5/x + 12/y = 1/2
    5y+12x / xy = 1/2
    5y+12x = xy/2
    10y+24x = xy

    4y-6x = 3xy —kalikan 4
    10y+24x = xy
    —————— +
    26y = 13xy
    .....y = xy/2
    4(xy/2)-6x = 3xy
    2xy-6x = 3xy
    -6x = xy
    x = -xy/6

    Hp = {x,y | -xy/6, xy/2}

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