Matematika

Pertanyaan

tolong dijawab soal difoto ini
tolong dijawab soal difoto ini

1 Jawaban

  • x+2y+3z =8
    x = 8-2y-3z

    3x-2y+z =16
    3(8-2y-3z)-2y+z = 16
    24-6y-9z-2y+z =16
    -8y-8z = -8     ( sama-sama dibagi -8)
    y+z =1
    y=1-z ..........(1)

    x= 8-2y-3z substitusi ke 2x+3y-z=3
    2(8-2y-3z)+3y-z =3
    16-4y-6z+3y-z=3
    -y-7z = 13............(2)

    y=1-z substitusi ke -y-7z=13
    -1+z-7z=13
    -6z = 14
    z= 14/6
    z= 7/3

    y=1-z
    y=1-7/3
    y= -1/3

    x=8-2y-3z
    x= 8- 2(-1/3)-3(7/3)
    x= 8+2/3-7
    x= 1+2/3
    x= 5/3

    jadi (x,y,z)= (5/3, -1/3, 7/3)