Matematika

Pertanyaan

Tentukan HPL dari sistem persamaan linear berikut ×-2y+z=0,3×+y-z=5,×-3y-2z=-15

1 Jawaban

  • x - 2y + z = 0   x +1
    3x + y -z = 5    x -1
    ---------------------
    4x - y = 5


    x - 2y + z = 0
    x - 3y - 2z = -15
    -----------------------------
           y + 3z = 15

    3x + y - z = 5       x 1
    x - 3y - 2z = -15    x 3
    -----------------------------
    10y + 5z = 50



    y + 3z = 15      x5
    10y + 5z = 50   x3
    ---------------------------
     -25y  =  -75
                                                       y   =  3
    4x - y = 5
    4x - 3 = 5
    4x = 8
                                                          x = 2
    y + 3z = 15
    3 + 3z = 15
    3z = 12
                                                              z = 4

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