Matematika

Pertanyaan

persamaan linear dua variabel

1) 5/x + 4/y = 13
3/x - 2/y = 21

2) 1/x + 4/y = 12
3/x + 1/y = 14

2 Jawaban

  • 5/x + 4/y = 13
    3/x - 2/y = 21
    misal 1/x = a dan 1/y = b
    5a + 4b = 13 (x1)
    --> 5a + 4b = 13
    3a - 2b = 21 (x2) --> 6a - 4b = 42 +
                                       11a = 55 --> a = 5
    5.5 + 4b = 13
    4b = 13 - 25
    4b = -12
    b = -3
    a = 5 --> 1/x = 5 --> x = 1/5
    b = -3 --> 1/y = -3 --> y = -1/3


    1/x + 4/y = 12 --> a + 4b = 12 (x3) --> 3a + 12b = 36
    3/x + 1/y = 14
    --> 3a + b = 14 (x1) --> 3a + b = 14  _
                                                                   11b = 22 --> b =2
    3a + 2 = 14
    3a = 12
    a = 4
    a = 4 --> 1/x = 4 --> x = 1/4
    b = 2 --> 1/y = 2 --> y = 1/2

    semoga membantu agan yusuf :D


  • maybe :
    1. x = 1/5 dan y = -1/3
    2. x = 29 dan y = -1/4

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