x+y+z=1 4x+5y-z=6 x+2y-z=3

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x+y+z=14x+5y-z=6x+2y-z=3x+y+z=14x+5y-z=6x+2y-z=3x+y+z=14x+5y-z=6x+2y-z=3x+y+z=1①4x+5y-z=6②x+2y-z=3③①

x+y+z=1 4x+5y-z=6 x+2y-z=3
x+y+z=1 4x+5y-z=6 x+2y-z=3

x+y+z=1 4x+5y-z=6 x+2y-z=3
x+y+z=1 ①
4x+5y-z=6 ②
x+2y-z=3 ③
①+②得
5x+6y=7 ④
①+③得
2x+3y=4 ⑤
④-2x⑤得
x=-1
y=2
z= 0