Matematika

Pertanyaan

6/x+2/y= 3 dan 3/x + 8/y=5 adalah

1 Jawaban

  • 6/x + 2/y = 3
    3/x + 8/y = 5

    Misalkan 1/x = a dan 1/y = b
    Jadi
    6a + 2b = 3
    3a + 8b = 5
    Eleminasi a
    6a + 2b = 3 |× 1| 6a + 2b = 3
    3a + 8b = 5 |×2| 6a + 16b= 10 -
    ----------------------------------------------
    - 14b = -7
    b = -7/-14
    b = 1/2
    Subtitusi b = 1/2 ke pers. 1
    6a + 2b = 3
    6a + 2(1/2) = 3
    6a + 1 = 3
    6a = 3-1
    6a = 2
    a = 2/6 = 1/3

    Jadi
    a = 1/x
    1/3 = 1/x
    x = 3
    b = 1/y
    1/2 = 1/y
    y = 2

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