Matematika

Pertanyaan

Penyelesaian sistem persamaan 1/x-3/y=3 2/x+6/y=2 adalah x1 dan y1. Nilai dari 2x1 - y1 =

1 Jawaban

  • misal p = 1/x
    q = 1/y

    p - 3q = 3
    2p + 6q = 2 |รท2| ---> p + 2q = 1
    eliminasi
    p - 3q = 3
    p + 2q = 1
    --------------
    -5q = 2
    q = 2/-5 = -2/5
    p - 3(-2/5) = 3
    p + 6/5 = 3
    p = 3 - 6/5
    p = 15/5 - 6/5 = 9/5

    p = 1/x
    9/5 = 1/x
    x = 5/9

    q = 1/y
    -2/5 = 1/y
    y = -5/2

    2x - y = 2(5/9) - (-5/2)
    = 20/18 + 45/18
    = 65/18

Pertanyaan Lainnya