Matematika

Pertanyaan

tentukan himpunan penyelesaian berikut ini dengan metode golongan subsitutisi dan eliminasi

a. 2x + 3y = 6
2x + y = 2

b. x + 3y = 1
2x - y = 9

c. 4x - 2y = 6
5 x - 3y = 2

d. 2x - 3y = 7
3x + 5y = -1

1 Jawaban

  • a
    2x + 3y = 6
    2x + y = 2
    ------------- -
    2y = 4
    y = 2

    2x + 3(2) = 6
    2x = 0
    x = 0

    b.

    x + 3y = 1.......x2
    2x - y = 9
    ....x1
    ---------
    2x + 6y = 2
    2x - y = 9
    -------------- -
    7y = -7
    y = -1

    x + 3y = 1
    x + 3(-1) = 1
    x - 3 = 1
    x = 4


    c.
    4x - 2y = 6..... x 5
    5 x - 3y = 2
    .... x4
    ---
    20x - 10y = 30
    20x-12y=8
    -------------------- -
    2y = 22
    y = 11


    4x - 2y = 6
    4x - 2(11) = 6
    4x = 28
    x = 7

    d.
    2x - 3y = 7.....x3
    3x + 5y = -1
    ...x2
    ------
    6x - 9y = 21
    6x + 10 y = -2
    --------------------- -
    -19y = 23
    y = -23/19


    2x - 3y = 7
    2x - 3(-23/19) = 7
    x = (7 + 3(-23/19))/2

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