Matematika

Pertanyaan

i. 2x - 2y - 2z = 9
ii. x - 6y - 3z = -28
iii. 3x + 2y + z = 16
eliminasi kan

1 Jawaban

  • 2x-2y-2z=9
    3x+2y+z=16
    ------------------- +
    5x -z = 25 (a)

    2x-2y-2z=9 |3| 6x-6y-6z=27
    x-6y-3z=-28 |1| x-6y-3z=-28
    ------------------------ -
    5x - 3z = 55 (b)

    5x-z =25
    5x-3z=55
    -------------- -
    2z= -30
    z = -15 -> 5x- z =25
    5x-(-15)=25
    5x =25-15
    5x =10
    x = 2
    substitusi z dan x
    2x-2y-2z=9
    2(2)-2y-2(-15)=9
    4-2y+30 =9
    2y =9-4-30
    2y = -25
    y= -25/2

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