Matematika

Pertanyaan

Ubah ke dalam subtitusi 2x+y-3z=-5
X+2y+z=8
X-2y+3z=6

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  • Materi : SPLTV

    2x + y - 3z = -5 ....... 1)
    x + 2y + z = 8 .......... 2)
    x - 2y + 3z = 6 ......... 3)

    x + 2y + z = 8
    x - 2y + 3z = 6
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    4y - 2z = 2 .............. 4)

    2x + y - 3z = -5 ..... ×1
    x + 2y + z = 8 ......... ×2
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    2x + y - 3z = -5
    2x + 4y + 2z = 16
    ◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆[-]
    -3y - 5z = -21 ......... 5)

    4y - 2z = 2 ........... × 3
    -3y - 5z = -21 ........ ×(-4)
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    12y - 6z = 6
    12y + 20z = 84
    ◆◆◆◆◆◆◆◆◆◆◆◆ [-]
    -26z = -78
    z = 3

    4y - 2z = 2
    4y - 2(3) = 2
    4y - 6 = 2
    4y = 2 + 6
    4y = 8
    y = 2

    x + 2y + z = 8
    x + 2(2) + 3 = 8
    x + 4 + 3 = 8
    x + 7 = 8
    x = 8 - 7
    x = 1

    Hp = { 1 , 2 , 3 }

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