Matematika

Pertanyaan

4x-y=2
2y+z=3
2x-z=1
maka nilai 2y+2z=

1 Jawaban

  • 4x - y = 2 ............. (1)
    2y + z = 3 ............ (2)
    2x - z = 1 .............. (3)

    Masukan persamaan (1) ke (2)
    4x - y = 2
    -y = 2 - 4x
    y = 4x -2 ....... (1)

    2y + z = 3 ......... (2)
    2 ( 4x - 2 ) + z = 3
    8x - 4 + z = 3
    8x + z = 3 +4
    8x + z = 7 ......... (4)

    Eliminasi persamaan (3) dan (4)
    2x - z = 1
    8x + z = 7
    ___________ +
    10x = 8
    x = 0.8

    4x - y = 2
    4 ( 0.8) -y = 2
    3.2 -y = 2
    -y = 2 - 3.2
    -y = - 1.2
    y = 1.2

    2y + z = 3
    2 (1.2) + z = 3
    2.4 + z = 3
    z = 3 - 2.4
    z = 0.6

    2y + 2z
    = 2 ( 1.2 ) + 2 ( 0.6 )
    = 2.4 + 1.2
    = 3.6

    Semoga membantu ^_^

Pertanyaan Lainnya