x-y+z=6 x+y-z=0 2x-3y+8z=33

问题描述:

x-y+z=6 x+y-z=0 2x-3y+8z=33

x-y+z=6(1).
x+y-z=0(2).
2x-3y+8z=33(3).
(1)+(2):2x=6,x=3.
(1)-(2):-2y+2z=6.
-y+z=3.
z=3+y.
2*3-3y+8(3+y)=33.
5y=33-30.
y=3/5.
z=3+3/5.
=18/5
∴ x=3,
y=3/5,
z=18/5.