Matematika

Pertanyaan

Tentukan elimanasi dari x.y
no 1 a)2x - y = 0 dan (ii) 3x - 2y = (-3 b) (i) (-2x + 3y =7 dan (ii) 5x + 8y =-2
No 2 a) 3x +3 = 3y dan (ii) 2x - 6y = 2 b) (i) 5x = 4y +8 dan (ii) 3y = 3x - 3

1 Jawaban

  • a) 2x - y = 0 |×2
    3x - 2y = - 3
    maka
    4x - 2y = 0
    3x - 2y = - 3
    ------------------(-)
    x = 3
    subtitusi
    2x - y = 0
    2(3) - y = 0
    6 - y = 0
    - y = - 6
    y = 6
    hp = ( 3,6 )

    - 2x + 3y = 7 |×5
    5x + 8y = - 2 |×2
    maka
    - 10x + 15y = 35
    10x + 16y = - 4
    ----------------------(+)
    31y = 31
    y = 1
    subtitusi
    - 2x + 3y = 7
    - 2x + 3(1) = 7
    - 2x + 3 = 7
    - 2x = 7 - 3
    - 2x = 4
    x = - 2
    hp = ( - 2, 1 )

    3x + 3 = 3y
    3x - 3y = - 3 |×2
    2x - 6y = 2
    maka
    6x - 6y = - 6
    2x - 6y = 2
    ------------------(-)
    4x = - 8
    x = - 2
    subtitusi
    3x + 3 = 3y
    3(-2) + 3 = 3y
    - 6 + 3 = 3y
    - 3 = 3y
    y = - 1
    hp = ( - 2 , - 1)

    5x = 4y + 8
    5x - 4y = 8
    3y = 3x - 3
    3x - 3y = 3 |×4
    5x - 4y = 8 |×3
    maka
    12x - 12y = 12
    15x - 12y = 24
    --------------------(-)
    - 3x = - 12
    x = 4
    subtitusi
    3y = 3x - 3
    3y = 3(4) - 3
    3y = 12 - 3
    3y = 9
    y = 3
    hp = ( 4,3 )

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