Matematika

Pertanyaan

di berikan SPLTV
3a-b+2c=16
2a+b+c=1
4a-2b+c=18
nilai a-b+c=

1 Jawaban

  • substitusikan pers 1 dan 2
    3a - b + 2c = 16
    2a + b + c = 1 
    ______________+
    51 + 3c = 17 ...(4)

    substitusikan pers 2 dan 3
    2a + b + c = 1 (dikali 2)
    4a - 2b + c = 18 (dikali 1)

    | x2 | 4a + 2b + 2c = 2
    | x1 | 4a - 2b + c = 18
    __________________+
    8a + 3c = 20 ...(5) 

    substitusikan pers 4 dan 5
    5a + 3c = 17
    8a + 3c = 20
    __________-
    -3a = -3
    a = 1

    eliminasikan pers 4 untuk mendapatkan nilai C
    5a + 3c = 17
    5(1) + 3c = 17
    5 + 3c = 17
    3c = 12
    c = 4

    elimanasikan a = 1 dan c = 4 ke pers 1
    3a - b + 2c = 16
    3(1) - b + 2(4) = 16
    3 - b + 8 = 16
    -b = 16 - 3 - 8
    -b = 5
    b = -5

    jadi nilai a - b + c = 1 - (-5) + 4 = 10

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