Matematika

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Tentukan hp dari spltv
X-4y+z=1
X+y+2z=-4
-2x+y-z=5

1 Jawaban

  • x-4y+z = 1
    x+y+2z =-4
    ________-
    -5y-z = 5....(1)

    x+y+2z = -4 |×2| 2x+2y+4z = -8
    -2x+y-z= 5 |×1| -2x+y-z= 5
    _________ _________+
    3y+3z=-3....(2)

    -5y-z = 5 |×3| -15y-3z = 15
    3y+3z=-3 |×1 | 3y+3z = -3
    _________ _________+
    -12y = 12
    y= -1
    -5× (-1)-z=5
    5-z =5
    5-5 = z
    0 =z

    x-4y+z = 1
    x-4×(-1)+(0)= 1
    x+4+0 = 1
    x=1-4
    x=-3

    hp={-3,-1,0}

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