Matematika

Pertanyaan

x+2y=-4
2x+z=5
y-3z=-6
tentukan nilai x, y, z?

1 Jawaban

  • x + 2y = -4
    x = -2y - 4

    substitusi
    2x + z = 5
    2(-2y - 4) + z = 5
    -4y - 8 + z = 5
    -4y + z = 5 + 8
    -4y + z = 13

    Eliminasi
    -4y + z = 13 (x1)
    y - 3z = -6 (x4)
    ------------------------
    -4y + z = 13
    4y - 12z = -24
    ------------------------- +
    -11z = -11
    z = 1

    -4y + z = 13
    -4y + 1 = 13
    -4y = 13 - 1
    -4y = 12
    y = -3

    x = -2y - 4
    x = -2(-3) - 4
    x = 6 - 4
    x = 2

    maka
    x = 2
    y = -3
    z = 1

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