Matematika

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tolong dong bantu:(

himpunan penyelesaian SPLTV:

x-y+z = -2
x-y-z = 0
x+y+z = -6

adalah ...

1 Jawaban

  • x-y+z = -2 ,.......(1)
    x-y-z = 0 ..........(2)
    x+y+z = -6 ....,...(3)

    eljminasi 2 dan 3

    x-y-z = 0
    x+y+z = -6
    ---------------+
    2x = -6
    x = -6/2 = -3

    eliminasi 1 dan 2
    x-y+z = -2
    x-y-z = 0
    -------------- +
    2x -2y= -2
    2(-3) -2y = -2
    -2y = -2+6
    y = 4/-2 = -2

    x+y+z = -6
    -3+(-2)+z = -6
    -5 + z = -6
    z = -6+5 = -1

    Himpunan penyelesaian {x,y,z} = {-3, -2, -1}
    maaf klo salah

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