Matematika

Pertanyaan

Nilai x, y, z :
x/4+3/y+1/z=9
3/x-4/y+2/z=3
2/x+5/y-1/z=5

Tolon dijawab secepat mungkin

1 Jawaban

  • a) 4/x+3/y+1/z=9
    2/x+5/y-1/z=5
    ___________+
    6/x+8/y = 14

    b) 3/x-4/y+2/z=3 [x1]
    2/x+5/y-1/z=5 [x2]
    => 3/x-4/y+2/z=3
    4/x+10/y-2/z=10
    ____________+
    7/x+6/y = 13

    ·» 6/x+8/y = 14 [x3] ...(a)
    7/x+6/y = 13 [x4] ...(b)
    => 18/x+24/y=42
    28/x+24/y=52
    ___________-
    -10/x = -10
    -10 = -10x
    x = 1

    ·» 7/x+6/y=13 ...(a)
    7/1+6/y=13
    7+6/y=13
    6/y=13-7
    6= 6y
    y= 1
    ·» 4/x+3/y+1/z=9
    4/1+3/1+1/z =9
    4+3+1/z=9
    7 + 1/z = 9
    1/z = 9-7
    1 = 2z
    z = 1/2

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