Matematika

Pertanyaan

soal sistem persamaan linier 3 variable (SPLTV).
dit: tentukan HP (x,y,z) berikut ini:
3x+4y-5z=2
2x+5y+z=8
6x-2y+3z=7

1 Jawaban

  • 2x +5y+z = 8
    z = 8 - 2x - 5y

    3x + 4y -5z = 2
    3x + 4y -5(8 - 2x - 5y) = 2
    3x + 4y - 40 + 10 x + 25 y = 2
    13x + 29y = 42

    6x -2y + 3 z =7
    6x - 2y + 3 ( 8 - 2x -5y) = 7
    6x - 2y +24 - 6x - 15y = 7
    -17y = - 17
    y = 1

    13x + 29y = 42
    13x + 29(1) = 42
    13x + 29 = 42
    13x = 13
    x = 1

    z = 8 - 2x - 5y
    z = 8 - 2(1) - 5(1)
    z = 8 - 2 - 5
    z = 1

    Hp {1,1,1}

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