Matematika

Pertanyaan

4x + 3y + z = 4
2x - 6y + z = 0
6x + 9y + 2z = 8

2 Jawaban

  • x=1-3/4y-2/4,yER,zER
    x=3y-2/2,yER,zER
    x=4/3-3/2y-1/3z,yER,zER
  • 4x + 3y + z = 4
    2x - 6y + z = 0
    ---------------------- -
    2x + 9y = 4 => pers.1

    4x + 3y + z = 4 (× 2)
    6x + 9y + 2z = 8 (× 1)

    8x + 6y + 2z = 8
    6x + 9y + 2z = 8
    ------------------------ -
    2x - 3y = 0 => pers.2

    pers.1 => 2x + 9y = 4
    pers.2 => 2x - 3y = 0
    .................------------------ -
    .......................12y = 4
    .........................y = 4/12
    .........................y = 1/3

    2x + 9y = 4
    2x + 9(1/3) = 4
    2x + 3 = 4
    2x = 4 - 3
    2x = 1
    x = 1/2

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

    Jadi nilai x , y , z adalah 1/2 , 1/3 , 1

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