Matematika

Pertanyaan

Diketahui sistem persamaan linear dua variabel
1/4× - 1/2y + 1 =0 dan 1/2× + 1/4y + 3/4 =0 maka nilai dari 3x+7y adalah ....

1 Jawaban

  • 1/4x - 1/2y = -1 ---------------- p(1)
    1/2x + 1/4y = -3/4 ------------- p(2)

    *eliminasi p(1) & p(2)
    1/4x - 1/2y = -1 | (×1)
    1/2x + 1/4y = -3/4 | (×1/2)
    =》1/4x - 1/2y = -1
    =》1/4x + 1/8y = -3/8
    ________________ (-)
    -5/8y = -3/8
    y = 3/8 . 8/5
    y = 3/5

    *subsitusi y=3/5 ke p(1)
    1/4x - 1/2y = -1
    1/4x - 1/2(3/5) = -1
    1/4x - 3/10 = -1
    1/4x = -1 + 3/10
    1/4x = -7/10
    x = -7/10 . 1/4
    x = -7/40


    jadi,
    x = -7/40
    y = 3/5

Pertanyaan Lainnya