解方程组{2X-Y+Z=-3①,X+3Y-2Z=13②,3X-2Y-Z=2③

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解方程组{2X-Y+Z=-3①,X+3Y-2Z=13②,3X-2Y-Z=2③
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解方程组{2X-Y+Z=-3①,X+3Y-2Z=13②,3X-2Y-Z=2③
解方程组{2X-Y+Z=-3①,X+3Y-2Z=13②,3X-2Y-Z=2③

解方程组{2X-Y+Z=-3①,X+3Y-2Z=13②,3X-2Y-Z=2③
2X-Y+Z=-3 (1)
X+3Y-2Z=13 (2)
3X-2Y-Z=2 (3)
(1)*2+(2): 5X+Y=7 (4)
(1)+(3): 5X-3Y=-1 (5)
(4)-(5): 4Y=8
Y=2
5X+2=7
5X=5
X=1
3-4-Z=2
Z=-3
X=1, Y=2, Z=-3