Matematika

Pertanyaan

Persmaan dua variabel dengan metode subsitusi
A.2x+3y=5 dan 4x-y=3
B.4x-y=3 dan 2/3x+5=-1
C.2x+10y dan 5x-9y=1

1 Jawaban

  • a) 4x - y = 3
    - y = - 4x + 3
    y = 4x - 3
    subtitusi
    2x + 3y = 5
    2x + 3(4x - 3) = 5
    2x + 12x - 9 = 5
    14x = 5 + 9
    14x = 14
    x = 1
    subtitusi
    y = 4x - 3
    y = 4(1) - 3
    y = 4 - 3
    y = 1
    hp = ( 1,1 )

    b) 4x - y = 3
    - y = - 4x + 3
    y = 4x - 3
    subtitusi
    ⅔ x + 5y = - 1
    ⅔ x + 5(4x - 3) = - 1
    ⅔ x + 20x - 15 = - 1
    ⅔ x + 20x = - 1 + 15
    ⅔ x + 20x = 14 ( dikali 3)
    2x + 60x = 42
    62x = 42
    x = 42/62
    x = 21/31
    subtitusi
    y = 4x - 3
    y = 4(21/31) - 3
    y = 82/31 - 93/3
    y = - 11/31
    hp = ( 21/31 , - 11/31 )

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