Matematika

Pertanyaan

Simtem persamaan linear tiga variabel
X-4y+ z =6
2x+y-2z=-1
3x+2y-2z=-2

1 Jawaban

  • x-4y+z=6......(1)
    2x+y-2z=-1....(2)
    3x+2y-2z=-2.....(3)
    pers (1) x 2=> 2x-8y+2z=12....(..1')
    per(2) + (1')=> 4x-7y=11....(4)
    pers(2)-(3)=> -x-y=-3.....(5)
    pers(5)x 4=> -4x-4y =-12......(5')
    (4)+(5')... -11y= -1
    y= 1/11
    subs ke (5)... -x -1/11=-3
    -x = -3+1/11
    -x = -32/11
    x= 32/11
    32/11-4(1/11)+z =6
    32/11-4/11+z =6
    28/11 +z =6
    z = 6-28/11
    z= 66/11-28/11=38/11

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