2x+y+z=17 x+2z+y=14 x+z+2y=13 求:xyz
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2x+y+z=17x+2z+y=14x+z+2y=13求:xyz2x+y+z=17x+2z+y=14x+z+2y=13求:xyz2x+y+z=17x+2z+y=14x+z+2y=13求:xyz2x+y
2x+y+z=17 x+2z+y=14 x+z+2y=13 求:xyz
2x+y+z=17 x+2z+y=14 x+z+2y=13 求:xyz
2x+y+z=17 x+2z+y=14 x+z+2y=13 求:xyz
2x+y+z=17 .①
x+2z+y=14 .②
x+z+2y=13 .③
①+②+③,得:
4x+4y+4z=44
除以4,得:
x+y+z=11.④
①-④,得:
x=6
③-④,得:
y=2
②-④,得:
z=3
2x+y+z=17 x+2z+y=14 x+z+2y=13
解方程组得x=6 y=2 z=3
xyz=36
把2式加3式等于2x+3z+3y=27
减去1式2x+y+z=17 解得y=5-z,带入1式,2x+5-z+z=17,x=6
再将y=5-z,带入2式,解得z=3.y=2
x=6
y=2
z=3
2x+y+z=17 x+2z+y=14 x+z+2y=13
三式相加,4(x+y+z)=44
x+y+z=11 ①
x=11-y-z ②
把②带入2x+y+z=17 化简得,那么x=11-y-z=6,即x=6
x+2z+y=14,化简带入,6+2z+y=14,2z+y=8
由y+z=5和2z+y=8,解y=2,z=3
那么xyz=6*2*3=36
2x+y+z=17 ……①
x+2z+y=14 ……②
x+z+2y=13 ……③
①-②得:
x-z=3 …………④
①*2-③得:
3x+z=21 …………⑤
④+⑤得:
4x=24
x=6 代入④得:
z=6-3=3
将x=6、z=3代入③得:
2y=13-6-3=4
y=2
xyz=6*2*3=36
x+y+z=14 7z=x+y+2 x+z=y
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(x-2y+z)(x+y-2z)分之(y-x)(z-x) + (x+y-2z)(y+z-2x)分之(z-y)(x-y) + (y+z-2z)(x-2y+z)分之(x-z)(y-z)=?第三部分那个是 (y+z-2x)(x-2y+z)分之(x-z)(y-z)
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