Matematika

Pertanyaan

tentukan penyelesaian sistem persamaan berikut dengan sistem eliminasi!
a. x+y=10 dan x-y=4
b.x-2y=9 dan 2x+2y=6
c.2x+3y=-1 dan 4x+3y=7

1 Jawaban

  • a.
    x + y = 10
    x - y = 4
    ________-
    2y = 6
    y = 6/2 = 3

    mencari nilai x
    x + y = 10
    x + 3 = 10
    x = 10 - 3
    x = 7

    b.
    x - 2y = 9. | x2| 2x - 4y = 18
    2x + 2y = 6 | x | 2x + 2y = 6

    2x-4y =18
    2x+2y=6
    _______-
    -6y = 12
    y = 12/6
    y = 2

    nilai x
    2x + 2y = 6
    2x + 4 = 6
    2x = 6-4
    2x = 2
    x = 2/2 =1

    c.
    2x + 3y =-1 |x4| 8x +12y = -4
    4x +3y = 7 |x2| 8x + 6y = 14

    8x +12y = -4
    8x + 6y = 14
    _________-
    6y = -18
    y = 18/6 =3

    mencari nilai x
    2x + 3y =-1
    2x + 9y = -1
    2x =-1-9
    2x =-10
    x = -10/2 = -5

Pertanyaan Lainnya