2x+3y+z=6(1),x-y+2z=-1(2),x+2y-z=5(3) (1)-(2)x2,得
2x+3y+z=6(1),x-y+2z=-1(2),x+2y-z=5(3)(1)-(2)x2,得(4),(3)-(2),得(5)...
2x+3y+z=6(1),x-y+2z=-1(2),x+2y-z=5(3) (1)-(2)x2,得 (4),(3)-(2),得 (5)
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2x+3y+z=6.................(1)
x-y+2z=-1..................(2)
x+2y-z=5...................(3)
(1)-(2)×2:
5y-3z=8......................(4)
(3)-(2):
3y-3z=6
y-z=2.........................(5)
(4)-(5)×3:
2y=-10
y=-5.........................(6)
(6)代入(5):
-5-z=2
-z=7
z=-7.........................(7)
(6)(7)代入(3):
x+2×(-5)-(-7)=5
x-10+7=5
x=8
x-y+2z=-1..................(2)
x+2y-z=5...................(3)
(1)-(2)×2:
5y-3z=8......................(4)
(3)-(2):
3y-3z=6
y-z=2.........................(5)
(4)-(5)×3:
2y=-10
y=-5.........................(6)
(6)代入(5):
-5-z=2
-z=7
z=-7.........................(7)
(6)(7)代入(3):
x+2×(-5)-(-7)=5
x-10+7=5
x=8
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