Matematika

Pertanyaan

1)spltv
x/2 +y/4 = 6
y/6-z/2 = -2
z/4+x/3 = 4

2)
1/x+2/y +4/z= 1
-1/x +4/y+12/z =0
2/x +8/y+4/z = -1

2 Jawaban

  • jawabnnya di atas.
    maaf aku gk bisa yang nomer 2,cuma bisa nomer 1

    semoga membantu
    Gambar lampiran jawaban nimatussolikha1
  • SPLTV

    1.]
    x/2 + y/4 = 6 [x 4]
    2x + y = 24 ... (i)

    y/6 - z/2 = -2 [x 6]
    y - 3z = -12 ... (ii)

    z/4 + x/3 = 4 [x 12]
    4x + 3z = 48 ... (iii)

    Eliminasi (i) dan (ii)
    2x + y = 24
    y - 3z = -12
    _________ [–]
    2x + 3z = 36 ... (iv)

    Eliminasi (iii) dan (iv)
    4x + 3z = 48
    2x + 3z = 36
    __________ [–]
    2x = 12
    x = 6

    2(6) + 3z = 36
    3z = 24
    z = 8

    y - 3(8) = -12
    y = -12 + 24
    y = 12

    HP : {(6 , 12 , 8})

    2.]
    Misal 1/x = a , 1/y = b , 1/z = c
    a + 2b + 4c = 1 => a = 1 - 2b - 4c ... (i)

    -a + 4b + 12c = 0
    4b + 12c = a ... (ii)

    Maka :
    4b + 12c = 1 - 2b - 4c
    6b + 16c = 1 [x 16]
    96b + 256c = 16 ... (iii)

    2a + 8b + 4c = -1
    2(4b + 12c) + 8b + 4c = -1
    16b + 28c = -1 [x 6]
    96b + 168c = -6 ... (iv)

    Eliminasi (iii) dan (iv)
    96b + 256c = 16
    96b + 168c = -6
    __________ [–]
    88c = 22
    c = ¼
    1/z = ¼
    z = 4

    6b + 16(¼) = 1
    6b = 1 - 4
    6b = -3
    b = - ½
    1/y = - ½
    y = -2

    a = 1 - 2(-½) - 4(¼)
    a = 1 + 1 - 1
    a = 1
    1/x = 1
    x = 1

    HP : {(1 , -2 , 4)}

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