Matematika

Pertanyaan

penyesaian dari x/5+y/4 = 12/5 dan x/2-y/3= 1/2 adalah

1 Jawaban

  • Diketahui :
    - x/5 + y/4 = 12/5
    - x/2 - y/3 = ½

    Ditanya :
    - Nilai x = .....?
    - Nilai y = .....?

    Penyelesaian :
    - Nilai x :
    x/5 + y/4 = 12/5
    20(x/5 + y/4 = 12/5)
    4x + 5y = 48

    x/2 - y/3 = ½
    6(x/2 - y/3 = ½)
    3x - 2y = 3

    (4x + 5y = 48) × 2
    (3x - 2y = 3) × 5

    8x + 10y = 96
    15x - 10y = 15
    __________ +
    23x = 111
    x = 111/23
    x = 4 19/23

    - Nilai y :
    3x - 2y = 3
    3(111/23) - 2y = 3
    333/23 - 2y = 3
    - 2y = 3 - 333/23
    - 2y = - 264/23
    y = 264/23 ÷ 2
    y = 132/23
    y = 5 17/23

    Maaf Kalau Salah

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