Matematika

Pertanyaan

Tolong jawab yaa. selesaikan sistem persamaan linear dua variabel berikut ini a. y=-x+3 y=-x+5 b. x=2y+10 2x+3y=-1 c. x+y=3 x-y=-3 d. 2x-4y=10 -12x+24y=-60

1 Jawaban

  • a.
    y = -x + 3
    y = x + 5
    _______-
    0 = -2x - 2
    2 = - 2x
    x = -1

    y = x + 5
    y = -1 + 5
    y = 4

    b.
    x = 2y + 10 >> x - 2y = 10 >> ×2
    2x + 3y = -1 >> ×1
    ________________________
    2x - 4y = 20
    2x + 3y = -1
    __________-
    -7y = 21
    y = -3

    x = 2y + 10
    x = 2 × (-3) + 10
    x = -6 + 10
    x = 4

    c.
    x + y = 3
    x - y = -3
    _______-
    2y = 6
    y = 3

    x + y = 3
    x + 3 = 3
    x = 3 - 3
    x = 0

    d.
    2x - 4y = 10 >> ×6
    -12x + 24y = -60 >> ×1
    __________________
    12x - 24y = 60
    -12x + 24y = -60
    _____________

    x = 7
    y = 1

    ((coba-coba aja hehe))

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