Matematika

Pertanyaan

Eliminasi dari sistem persamaan tiga variabel berikut:
2x-y-z = 6
x-3y+z = -2
x+2y+z = 3

1 Jawaban

  • 2x-y-z=6. lx1 l 2x-y-z =6
    x+2y+z=3 lx1 l x+2y+z=3
    ---------------+
    3x-y =9
    x-3y+z=-2 lx2l. 2x-6y+2z=-4
    2x-y-z=6 lx1 l 2x-y-z=6
    -----------------_
    - 5y +3z=10


    x+2y+z=3 (x1) x+2y+z =3
    x-3y+z =-2 (x1) x-3y+z=-2

    ------------------_
    5y =5
    y=1
    y=1→ -5y+3z=10
    -5.1+3z =10
    3z= 10+5
    z=15/3
    z=5
    x+2y+z=3
    x+2.1 +5 =3
    x+2+5=3
    x+7=3
    x=3-7
    x=-4

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