Matematika

Pertanyaan

tentukan himpunan penyelesaian

3/x + 4/x = 6 dan 1/x +1/y = 3

plis dibantu ya pake cara makasi banyak

1 Jawaban

  • misal : 1/x = a
    1/y = b

    3/x + 4/y = 6
    3.1/x + 4.1/y = 6
    3a + 4b = 6 ..........(1)

    1/x + 1/y = 3
    a + b = 3 ..........(2)

    gunakan metode eliminasi :
    3a + 4b = 6 |x1| 3a + 4b = 6
    a + b = 3 |x3| 3a + 3b = 9
    _______________________-
    b = -3

    • b = 1/y
    -3 = 1/y
    y = -⅓

    a + b = 3
    a + (-3) = 3
    a = 3 + 3
    a = 6

    • a = 1/x
    6 = 1/x
    x = 6

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