Matematika

Pertanyaan

tentukan himpunan penyelesaian dari

x + y + 2z = 4
2x + 4y +z = -14
3x - 2y + z = -3

1 Jawaban

  • x+y+2z =4 |x2| =>2x+2y+4z = 8
    2x+4y+z=-14 |x1| => 2x+4y+z =-14
    ________________ -
    -2y+3z = -6

    x+y+2z =4 |x3| => 3x+3y+3z = 12
    3x-2y+z = -3 |x1| => 3x-2y+z = -3
    ______________ -
    5y- 2z = 15

    -2y+3z = -6 |x2| => -4y+6z =-12
    5y-2z = 15 |x3| => 15y-6z =45
    _____________ -
    -19y = -57
    y = 57/19

    x+y+z = 4 3x-2y+z = -3
    x+57/19+z =4 3x-2x57/19+z=-3
    x+57+z = 76 3x-114+z =-57
    x+z = 19 3x+z = 57

    x-z =19 x-z =19
    3x+z =57 19-z =19
    _________ - z =0
    -2x = -38
    x = 19

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