Matematika

Pertanyaan

Tentukan Hp dari a.(3(x+2)-2(y+3)=8 (5(x+2)+3(y+3)=45

1 Jawaban

  • 3(x+2) - 2(y+3) = 8
    3x + 6 - 2y - 6 = 8
    3x - 2y = 8 ... (i)

    5(x+2) + 3(y+3) = 45
    5x + 10 + 3y + 9 = 45
    5x + 3y + 19 = 45
    5x + 3y = 26 ... (ii)

    Eliminasi kedua persamaan
    *pers. (i) dikali 3 , pers. (ii) dikali 2 *
    9x - 6y = 24
    10x + 6y = 52
    __________ +
    19x = 78
    x = 4,1

    Substitusi x ke pers. (1)
    3x - 2y = 8
    3(4,1) - 2y = 8
    12,3 - 2y = 8
    -2y = -4,3
    y = 2,15

    Jadi, x = 4,1 ; y = 2,15

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