已知x,y,z满足x+2y-4z=0,2x+5y-3z=0,且xyz≠0,则x:y:z等于A.2:1:3B.3:2:1C.1:2:3D.2:3:1

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已知x,y,z满足x+2y-4z=0,2x+5y-3z=0,且xyz≠0,则x:y:z等于A.2:1:3B.3:2:1C.1:2:3D.2:3:1
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已知x,y,z满足x+2y-4z=0,2x+5y-3z=0,且xyz≠0,则x:y:z等于A.2:1:3B.3:2:1C.1:2:3D.2:3:1
已知x,y,z满足x+2y-4z=0,2x+5y-3z=0,且xyz≠0,则x:y:z等于
A.2:1:3
B.3:2:1
C.1:2:3
D.2:3:1

已知x,y,z满足x+2y-4z=0,2x+5y-3z=0,且xyz≠0,则x:y:z等于A.2:1:3B.3:2:1C.1:2:3D.2:3:1
∵4x-5y+2z=0 ①
x+4y-3z=0 ②
∴①×3+②×2,得2x=y
①×4+②×5,得3x=z
∴x:y:z=x:2x:3x=1:2:3
选C

可以化出x=14z,y=-5z
所以x:y:z=14:5:1
x=14a
y=5a
z=a
(a为常数且不等于0)