Matematika

Pertanyaan

Diketahui sistem persamaan 3x + 3y = 3 dan 2x - 4y = 14. Nilai dari 4x - 3y = ........jelaskan caranya

2 Jawaban

  • 3x + 3y = 3 (x2)
    2x - 4y = 14 (x 3)

    6x + 6y = 6
    6x - 12y = 42
    _________ -
    18y = - 36
    y = -2

    3x - 6 = 3
    3x = 9
    x = 3

    4x - 3y = 4(3) - 3(-2) = 12 + 6 = 18
  • ELIMINASI =>Pers I dan II

    3x + 3y = 3 (× 2)
    2x - 4y = 14(× 3)

    6x + 6y = 6
    6x - 12y = 42
    --------------------- -
    .......18y = - 36
    y = -36/18
    y = -2

    Subsitusikan y = -2 ke pers. I atau II
    =>3x + 3y = 3
    =>3x + 3(-2) = 3
    =>3x - 6 = 3
    =>3x = 3 + 6
    =>3x = 9
    =>x = 9/3
    =>x = 3

    4x - 3y = 4(3) - 3(-2)
    = 12 + 6
    = 18

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