Matematika

Pertanyaan

Hasil dari SSubtitusi dan eliminasi -2x-5y =3 dan 3x+8y=-6
Pakai cara yang jelas please..

1 Jawaban

  • A. substitusi

    -2x - 5y = 3
    -2x = 3 + 5y[tex]x = - \frac{3}{2} - \frac{5}{2} y[/tex]
    [tex]3x + 8y = - 6 \\ 3( - \frac{3}{2} - \frac{5}{2} y) + 8y = - 6 \\ - \frac{9}{2} - \frac{15}{2} y + 8y = - 6 \\ - \frac{15}{2} y + 8y = - 6 + \frac{9}{2} \\ - \frac{15}{2} y + \frac{16}{2} y = - \frac{12}{2} + \frac{9}{2} \\ \frac{1}{2} y = - \frac{3}{2} \\ y = - \frac{3}{2} \div \frac{1}{2} \\ y = - \frac{3}{2} \times 2 \\ y = - 3[/tex]

    -2x - 5y = 3
    -2x - 5(-3) = 3
    -2x + 15 = 3
    -2x = 3 - 15
    -2x = -12
    x = -12 : (-2)
    x = 6

    (x, y) = (6, -3)


    B. eliminasi

    -2x - 5y = 3 >> ×3
    3x + 8y = -6 >> ×2
    _________________
    -6x - 15y = 9
    6x + 16y = -12
    ____________+
    y = -3

    3x + 8y = -6
    3x + 8(-3) = -6
    3x - 24 = -6
    3x = -6 + 24
    3x = 18
    x = 18 : 3
    x = 6

    (x, y) = (6, -3)

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