Matematika

Pertanyaan

tentukan niai 2a - b - c jika diketahui SPLTV:

2a - 3b + c = 19
3a + 2b - 2c = 2
a - 4b - c =14

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1 Jawaban

  • 2a - 3b + c = 19
    3a + 2b - 2c = 2
    a - 4b - c = 14

    a - 4b - c = 14
    a = 14 + 4b + c

    2a - 3b + c = 19
    2(14 + 4b + c) - 3b + c = 19
    28 + 8b + 2c - 3b + c = 19
    5b + 3c = 19 - 28
    5b + 3c = - 9

    3a + 2b - 2c = 2
    3(14 + 4b + c) + 2b - 2c = 2
    42 + 12b + 3c + 2b - 2c = 2
    14b + c = 2 - 42
    14b + c = - 40

    5b + 3c = - 9|× 1
    14b + c = - 40|× 3

    5b + 3c = - 9
    42b + 3c = - 120
    ____________ —
    - 37b = 111
    b = - 3

    5b + 3c = - 9
    - 15 + 3c = - 9
    3c = - 9 + 15
    3c = 6
    c = 2

    a = 14 + 4b + c
    a = 14 - 12 + 2
    a = 2 + 2
    a = 4

    2a - b - c
    = 8 + 3 - 2
    = 11 - 2
    = 9

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