Matematika

Pertanyaan

[tex] \left[\begin{array}{ccc}x-y&4\\2&x+y\end{array}\right] [/tex] = [tex] \left[\begin{array}{ccc}2&4\\2&8\end{array}\right] [/tex]

x²-y²=?

[tex] \left[\begin{array}{ccc}a+b&x+y\\x-y&a-b\end{array}\right] [/tex] = [tex] \left[\begin{array}{ccc}2&3\\4&2\end{array}\right] \left[\begin{array}{ccc}2&1\\6&5\end{array}\right] [/tex]

ax-by =?

1 Jawaban

  • (1) x - y = 2
    x+ y = 8
    x^2-y^2 = (x+y)(x-y)
    = 8×2 = 16

    (2) a + b = 2×2 = 4 [1]
    x + y = 3×1 = 3 [2]
    x - y = 4×6 = 24 [3]
    a - b = 2×5 = 10 [4]
    Eliminasi persamaan 1 dan 4
    a+b=4
    a-b =10
    ______+
    2a = 14
    a = 7
    maka b = -3

    Eliminasi Persamaan 2 dan 3
    x+y=3
    x-y=24
    ______+
    2x=27
    x = 27/2
    maka
    x+y = 3
    27/2 + y = 3
    27/2 + y = 6/2
    y = (6-27)/2
    y = -21/2

    ax-by
    7×27/2 - -3×-21/2
    189/2 - 63/2
    126/2
    = 63

    semoga membantu :)


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