Matematika

Pertanyaan

kak tolong jawab Sistem Persamaan Linear 3 Variabel
x+3y-z=4
x+2y-3z=7
x+y-z=2

1 Jawaban

  • (1) x+3y-z= 4
    (2) x+2y-3z= 7
    (3) x+y-z= 2

    persamaan (1) & (2)
    x+3y-z=4
    x+2y-3z= 7
    _________ _
    y+2z = -3 --------> (4)

    persamaan (2) & (3)
    x+2y-3z = 7
    x+y-z = 2
    __________ _
    y-2z = 5 ------------> (5)

    persamaan (4)&(5)
    y+2z = -3
    y-2z = 5
    _______ _
    4z = -8
    z = -2

    persamaan (4)
    y + 2z = -3
    y -4 = -3
    y = 1

    persamaan (3)
    x + y - z = 2
    x + 1 +2 = 2
    x + 3 = 2
    x = -1

    jadi x= -1 , y= 1 , z= -2

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