Matematika

Pertanyaan

penyelesaian dari sistrm persmaan berikut

a.3×+3=3y
2x-6y=2

b.5x=4y+8
3y=3x-3

2 Jawaban

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  • a) 3x + 3 = 3y
    3x - 3y = - 3 |×2
    2x - 6y = 2
    maka
    6x - 6y = - 6
    2x - 6y = 2
    ------------------(-)
    4x = - 8
    x = - 2
    subtitusi ke pers :
    3x + 3 = 3y
    3(-2) + 3 = 3y
    - 6 + 3 = 3y
    - 3 = 3y
    y = - 1
    hp = ( - 2 , - 1 )

    b) 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 ke pers :
    3y = 3x - 3
    3y = 3(4) - 3
    3y = 12 - 3
    3y = 9
    y = 3
    hp = { 4,3 }

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