Matematika

Pertanyaan

Himpunan penyelesaian dari....

1. x + 4y + z = 5
x + z = 6
x + 10y - 5z = 2

2. 5x + y - 2z = - 10
x - 2y + z = 15
x + y + z = 9

Tolong pakai caranya ya

1 Jawaban

  • 1.
    x +4y + z = 5...(1)
    x + z = 6....(4)
    x +10y - 5z =2....(2)
    pers (1) dan (2)
    x + 4y +z = 5 | 10 | 10x + 40y + 10z =50
    x + 10y - 5z = 2 | 4 | 4x + 40y - 20z = 8
    ----------------------------------------------- -
    6x + 30z = 42...(5)

    pers (4) dan (5)
    x + z = 5. | 6 | 6x + 6z = 30
    6x + 30z = 42 | 1 | 6x + 30 z = 42
    ----------------------------------------- -
    -24 z = 12
    z = -2
    x + z = 5
    x + (-2) = 5
    x = 5 + 2
    x = 7

    x + 4y + z = 5
    7 + 4y + (-2)= 5
    7 + 4y+ (-2)= 5
    5 + 4y = 5
    4y = 5 - 5
    4y = 0
    y = 0
    jadi hp=> { 7, 0,-2}


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