x+Y+Z=1 X+3Y+7Z=-1 X+5Y+8Z=2x+Y+Z=1X+3Y+7Z=-1X+5Y+8Z=2

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x+Y+Z=1X+3Y+7Z=-1X+5Y+8Z=2x+Y+Z=1X+3Y+7Z=-1X+5Y+8Z=2x+Y+Z=1X+3Y+7Z=-1X+5Y+8Z=2x+Y+Z=1X+3Y+7Z=-1X+5Y+

x+Y+Z=1 X+3Y+7Z=-1 X+5Y+8Z=2x+Y+Z=1X+3Y+7Z=-1X+5Y+8Z=2
x+Y+Z=1 X+3Y+7Z=-1 X+5Y+8Z=2
x+Y+Z=1
X+3Y+7Z=-1
X+5Y+8Z=2

x+Y+Z=1 X+3Y+7Z=-1 X+5Y+8Z=2x+Y+Z=1X+3Y+7Z=-1X+5Y+8Z=2
x=0
y=2
z=-1
x+3y+7z-(x+y+z)=2y+6z
就是-1-1=2=2y+6z
x+5y+8z-(x+y+z)=4y+7z=2-1=1
在组合4y+7z=1
2y+6z=2
y=2 z=-1
最后代入得x=0

x+y+z=1…①
x+3y+7z=-1…②
x+5y+8z=2…③
②-①得:
2y+6z=-2…④
③-②得:
2y+z=3…⑤
④-⑤得:
5z=-5
z=-1
x=0
y=2