x/2+y/3-z=4(2)

x/3-y/2+z/2=3(3)

Solution:

3x/2-5y/3=8 from (1)*4-(2), that is, 9x- 10y=48(3).

From (3)*2+(2), 7x/6-2y/3= 10, that is 7x-4y=60(4).

From (3)*7-(4)*9，-34y=-204，y=6。

Substitution into (4) gives x= 12.

Substitution into (2) gives z=4.

So the solution of the equation is x= 12, y=6 and z=4.