Matematika

Pertanyaan

bantu saya mengerjakan soal ini ya
4x + 3y - 2z =1
2x - y +z =3
x + 2y + 3z =-1

dan

3/x - 2/y + 1/z =5
1/x - 5/y + 3/z =2
2/x + 1/y +1/z =12

1 Jawaban

  • 4x + 3y - 2z = 1 | × 1
    2x - y + z = 3    | × 2
    4x + 3y - 2z = 1
    4x - 2y + 2z = 6 [tex] _{+} [/tex]
    8x + y = 7 ... (1)

    4x + 3y - 2z = 1 | × 3
    x + 2y + 3z = -1 | × 2
    12x + 9y - 6z = 3
    2x + 4y + 6z = -2 [tex] _{+} [/tex]
    14x + 13y = 1 ... (2)

    8x + y = 7      | × 13
    14x + 13y = 1 | × 1 
    104x + 13y = 91
    14x + 13y = 1  
    90x = 90
    x = 1

    8x + y = 7
    8 + y = 7
    y = 7 - 8 = -1

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