Matematika

Pertanyaan

x + 2y = -4 2x + z = 5 y - 3z = -6 tolong dibantu..tent.HP sistem persamaannya....

1 Jawaban

  • x + 2y = -4 »» y = (-4 - x)/2 ...(1)
    2x + z = 5 »» z = 5 - 2x ...(2)
    y - 3z = -6 ...(3)

    Substitusi (1) dan (2) ke (3)
    (-4 - x)/2 - 3(5 - 2x) = -6
    (-4 - x)/2 - 15 + 6x = -6
    -4 - x - 30 + 12x = -12
    11x - 34 = -12
    11x = 22
    x = 2

    x + 2y = -4
    2 + 2y = -4
    2y = -6
    y = -3

    2x + z = 5
    2(2) + z = 5
    z = 1

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