Matematika

Pertanyaan

Tentukan himpunan penyelesaian SPLTV berikut
2x + 3y + z = 11
x + 4y + 2z = 14
3x + 5y - z = 7

1 Jawaban

  • 2x+3y+z = 11
    3x+5y-z = 7
    ------------ +
    5x+8y = 18

    2x+3y+z = 11 x2
    x+4y+2z = 14

    4x+6y+2z = 22
    x+4y+2z = 14
    ------------ -
    3x+2y = 8

    5x+8y = 18
    3x+2y = 8 x4

    5x+8y = 18
    12x+8y = 32
    ---------- -
    -7x = -14
    x = -14 : -7
    = 2

    5x+8y =18
    5.2+8y =18
    10+8y = 18
    8y = 18-10
    8y = 8
    y. = 1

    2x+3y+z= 11
    2(2)+3(1)+z=11
    4+3+z=11
    7+z=11
    z=11-7
    z=4

    HP={1,2,4}

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