X+Y-2Z=-3 (1)
2X-3Y+2Z=2 (2)
-3X+5Y+2Z=13 (3)
(1)+(2)
3X-2Y=-1 (4)
(2)-(3)
5X-8Y=-11 (5)
(4)×4-(5)
12X-5X=-4+11
7X=7
所以
X=1
Y=(5X+11)/8=2
Z=(X+Y+3)/2=3
X+Y-2Z=-3 (1)
2X-3Y+2Z=2 (2)
-3X+5Y+2Z=13 (3)
(1)+(2)
3X-2Y=-1 (4)
(2)-(3)
5X-8Y=-11 (5)
(4)×4-(5)
12X-5X=-4+11
7X=7
所以
X=1
Y=(5X+11)/8=2
Z=(X+Y+3)/2=3