Matematika

Pertanyaan

Jika x + 2y =3a +5 dan 2x - y = a + p maka 10x - 10y adalah

1 Jawaban

  • x + 2y = 3a + 5
    x = 3a + 5 - 2y

    2x - y = a + p
    2(3a + 5 - 2y) - y = a + p
    6a + 10 - 4y - y = a + p
    6a + 10 - 5y = a + p
    5y = 6a + 10 - a - p
    y = 5a/5 + 10/5 - p/5
    y = a + 2 - p/5

    x = 3a + 5 - 2y
    x = 3a + 5 - 2 (a + 2 - p/5)
    x = 3a + 5 - 2a - 4 + 2p/5
    x = a + 1 + 2p/5

    10x - 10y = 10 (a + 1 + 2p/5 ) - 10 ( a + 2 - p/5)
    = 10a + 10 + 20p/5 - 10a - 20 + 10p/5)
    = -10 + 30p/5
    = -10 + 6p atau = 6p - 10

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