已知x:y:z=3:5:6,且2x-y+3z=38,求3x+y-2z的值

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已知x:y:z=3:5:6,且2x-y+3z=38,求3x+y-2z的值

已知x:y:z=3:5:6,且2x-y+3z=38,求3x+y-2z的值
已知x:y:z=3:5:6,且2x-y+3z=38,求3x+y-2z的值

已知x:y:z=3:5:6,且2x-y+3z=38,求3x+y-2z的值
令x:y:z=3:5:6=K
则x=3k,y=5k,z=6k
2x-y+3z=38=6k-5k+18k
k=2
3x+y-2z=9k+5k-12k=2k=4

设x为3a,y为5a,z为6a,代入2x-y+3z=38中,得a=2,继而得出x=6,y=10,z=12,
3x+y-2z=3*6+10-2*12=4

设X=3n,Y=5n,Z=6n,带入2x-y+3z=38,得n=2,所以x=6,y=10,z=12;最后带入3x+y-2z=4