x+y+z=11 100z+10y+x-100x+10y+z=693 100x+10z+y-100x+10y+z=54解
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x+y+z=11 100z+10y+x-100x+10y+z=693 100x+10z+y-100x+10y+z=54解方程组
x+y+z=11 (1)
100z+10y+x-100x+10y+z=693 (2)
100x+10z+y-100x+10y+z=54 (3)
(3) => 11y+11z=54 ≡ (3)
(1)*99+(2),=> 119y+200z=1782 (4)
(3)*200-(4)*11,=>
(11*200-119*11)y=54*200-1782*11
891y=-8802,=>
y=-8802/891=-9.88
z=54/11-y=14.79
x=11-y-z=6.09
100z+10y+x-100x+10y+z=693 (2)
100x+10z+y-100x+10y+z=54 (3)
(3) => 11y+11z=54 ≡ (3)
(1)*99+(2),=> 119y+200z=1782 (4)
(3)*200-(4)*11,=>
(11*200-119*11)y=54*200-1782*11
891y=-8802,=>
y=-8802/891=-9.88
z=54/11-y=14.79
x=11-y-z=6.09
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X+Y+Z=?
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