Jawaban:

x= 0, y=5/2, z= 23/2

Penjelasan dengan langkah-langkah:

misal.

1/x+2= a

1/y+1= b

1/z-1= c

maka

-4a + 4b + 9c= -6

8a + 6b + 3c= 4

4a + 2b - 6c= 2

Eliminasi variabel c:

(1) dan (2)

-4a + 4b + 9c= -6 (×1) = -4a+4b+9c= -6

8a + 6b + 3c= 4 (×3)= 24a+18b+9c= 12

------------------------------------------------------ -

-28a-14b= -18

(2) dan (3)

8a + 6b + 3c= 4 (×2)= 16a+12b+6c= 8

4a + 2b - 6c= 2 (×1)= 4a+2b-6c= 2

-------------------------------------------------- +

12a+14b= 10

-28a-14b= -18

12a + 14b= 10

------------------- +

-16a= -8

a= 1/2

-28(1/2)-14b= -18

-14-14b= -18

-14b= -4

b= 2/7

4a + 2b - 6c= 2

4(1/2)+2(2/7)-6c= 2

2+4/7-6c= 2

4/7= 6c

c= 2/21

1/2= 1/x+2

x+2= 2 -> x= 0

2/7= 1/y+1

2y+2= 7

2y= 5 -> y= 5/2

2/21= 1/z-1

2z-2= 21

2z= 23 -> z= 23/2