Matematika

Pertanyaan

2x +5y +4z=28
3x- 2y+ 5z =19
6x + 3y - 2z=4
Tentukan nilai 2x -3y+z
Tolong di jelas kan yah kk

1 Jawaban

  • 2x + 5y + 4z = 28 ....(1)
    3x - 2y + 5z = 19 ....(2)
    6x + 3y - 2z = 4 .....(3)

    pers (1) dan (2)
    2x + 5y + 4z = 28 | 5 |
    3x - 2y + 5z = 19 | 4 |
    ___________________
    10x + 25y + 20z = 140
    12x - 8y + 20z = 76
    _________________-
    -2x + 33y = 64.....(4)


    pers ( 1) dan (2)
    2x + 5y + 4z = 28 | -1|
    6x + 3y - 2z = 4 | 2 |
    __________________
    -2x - 5y - 4z = -28
    12x + 6y -4z = 8
    _________________-
    -14x - 11y = -36
    14x + 11y = 36.....(5)

    pers (4) dan (5)
    -2x + 33y = 64 | 1 |
    14x + 11y = 36 | 3 |
    ________________
    -2x + 33y = 64
    42x + 33y = 108
    _____________-
    -44x = -44
    x= -44/-44
    x=1


    14x + 11y = 36
    14(1) + 11y =36
    11y = 36 - 14
    11y = 22
    y = 22/11
    y = 2


    2x + 5y + 4z = 28
    2(1) + 5(2) + 4z = 28
    2 + 10 + 4z = 28
    12 + 4z = 28
    4z = 28 - 12
    4z = 16
    z = 16/4
    z = 4

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