4X-5Y+2Z=1,⑴
8X-3Y-Z=15,⑵
5X+2Y-3Z=18 ⑶
⑵×2＋⑴
20x-11y=31⑷
⑵×3－⑶
19x-11y=27⑸
⑷－⑸得：x=4
将x=4代入⑶得：20*4-11y=31,y=49/11
将x=4,y=49/11代入⑵得：8*4-3*49/11-z=15
z=40/11
x=4
y=49/11
z=40/11
4X-5Y+2Z=1,8X-3Y-Z=15,5X+2Y-3Z=18
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