Matematika

Pertanyaan

A + b - c = 4
-a + 2b + 2c = -2
B - 2c = 7 - 2a
Nilai 2c = ...

2 Jawaban

  • a + b - c = 4 ...pers.1
    -a + 2b + 2c = -2 ...pers.2
    b - 2c = 7 - 2a → 2a + b - 2c = 7 ...pers.3

    Eliminasi pers.1 dan pers.2
    a + b - c = 4
    -a + 2b + 2c = -2
    ______________+
    3b + c = 2 ...pers.4

    Eliminasi pers.2 dan pers.3
    -a + 2b + 2c = -2 |× 2|→ -2a + 4b + 4c = -4
    2a + b - 2c = 7    |× 1|→ 2a + b - 2c = 7
                                          ________________+
                                            5b + 2c = 3 ...pers.5

    Eliminasi pers.4 dan pers.5
    3b + c = 2   |× 2|→ 6b + 2c = 4
    5b + 2c = 3 |× 1|→ 5b + 2c = 3
                                 _____________-
                                   b = 1
    3b + c = 2
    3 × 1 + c = 2
    3 + c = 2
    c = 2 - 3
    c = -1

    a + b - c = 4
    a + 1 - (-1) = 4
    a + 1 + 1 = 4
    a + 2 = 4
    a = 4 - 2
    a = 2

    Nilai 2c = 2 × (-1) = -2
  • Semoga membantu kalau ngak salah begini hehe
    Gambar lampiran jawaban NadyaTombii

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