Matematika

Pertanyaan

a + b + c = 3

5a – 9b – 2c = 8

3a + 5b – 3c = 45


1 Jawaban

  • a + b + c = 3 |×2
    5a - 9b - 2c = 8
    maka
    2a + 2b + 2c = 6
    5a - 9b - 2c = 8
    -------------------------(+)
    7a - 7b = 14 ... pers 1

    a + b + c = 3 |×3
    3a + 5b - 3c = 45
    maka
    3a + 3b + 3c = 9
    3a + 5b - 3c = 45
    --------------------------(+)
    6a + 8b = 54 ... pers 2

    pers 1 & 2
    7a - 7b = 14 |×6
    6a + 8b = 54 |×7
    maka
    42a - 42b = 84
    42a + 56b = 378
    ------------------------(-)
    - 98b = - 294
    b = 3

    subtitusi
    7a - 7b = 14
    7a - 7(3) = 14
    7a - 21 = 14
    7a = 14 + 21
    7a = 35
    a = 5

    subtitusi
    a + b + c = 3
    5 + 3 + c = 3
    8 + c = 3
    c = 3 - 8
    c = - 5

    hp = ( 5, 3 , - 5 )

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