Matematika

Pertanyaan

Diketahui sistem persamaan:
2x + 3y = 13
3x - 4y = -23
Nilai 4x - 5y adalah...?

1 Jawaban

  • Eliminasikan:
    2x + 3y = 13 -------->> (dikali 3)
    3x - 4y = -23 -------->> (dikali 2)
    ____________ 

    6x + 9y = 39
    6x - 8y = -46
    ____________ -
    17y = 85
    y = 5

    Subtitusikan y ke:
    2x + 3y = 13
    2x + 3(5) = 13
    2x + 15 = 13
    2x = 13 - 15
    2x = -2
    x = -2/2
    x = -1

    Nilai 4x - 5y adalah:
    = 4x - 5y
    = 4(-1) - 5(5)
    = -4 - 25
    = -29

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