Matematika

Pertanyaan

Tentukan koordinat titik potong dari dua garis dg persamaan
3x -2y -7 = 0 dan 2x +y -14 = 0

*tolong beserta caranya ya

2 Jawaban

  • 2x + y - 14 = 0 |×2| ---> 4x + 2y - 28 = 0
    eliminasi
    4x + 2y - 28 = 0
    3x - 2y - 7 = 0
    ----------------------- +
    7x - 21 = 0
    7x = 21
    x = 3
    2(3) + y - 14 = 0
    6 + y - 14 = 0
    y - 8 = 0
    y = 8
    titik potong (x.y) = (3,8)
  • 3x - 2y - 7 = 0 => 3x - 2y = 7 |.1| 3x - 2y = 7
    2x + y - 14 = 0 => 2x + y = 14 |.2| 4x + 2y = 28
    ---------------------------------------------------------------- +
    ........................................................... 7x = 35 => x = 5
    2x + y = 14
    y = 14 - 2x = 14 - 2(5) = 4
    Jadi titik potong nya = (5,4)

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