Matematika

Pertanyaan

Diketahui garis y= 2× - 5 dan 3y -9× +6=0 maka titik potong kedua garis adalah

2 Jawaban

  • Kelas 8 Matematika
    Bab SPLDV

    3y - 9x + 6 = 0
    3(2x - 5) - 9x + 6 = 0
    6x - 15 - 9x + 6 = 0
    -3x = 9
    x = 9/-3
    x = -3

    y = 2x - 5
    y = 2 . (-3) - 5
    y = -6 - 5
    y = -11

    Titik potong = (-3, -11)

  • y = 2x - 5
    y - 2x = - 5

    3y - 9x + 6 = 0
    3y - 9x = - 6

    y - 2x = - 5 |×3
    3y - 9x = - 6
    maka
    3y - 6x = - 15
    3y - 9x = - 6
    -------------------(-)
    3x = - 9
    x = - 3

    subtitusi
    y - 2x = - 5
    y - 2(-3) = - 5
    y + 6 = - 5
    y = - 5 - 6
    y = - 11

    ttk potong = ( - 3, - 11 )

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