已知x/2=y/3=z/4,且x+y+z不等于0,求2x+3y-4z/x+y+z的值

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已知x/2=y/3=z/4,且x+y+z不等于0,求2x+3y-4z/x+y+z的值

已知x/2=y/3=z/4,且x+y+z不等于0,求2x+3y-4z/x+y+z的值
已知x/2=y/3=z/4,且x+y+z不等于0,求2x+3y-4z/x+y+z的值

已知x/2=y/3=z/4,且x+y+z不等于0,求2x+3y-4z/x+y+z的值
设x/2=y/3=z/4=k
∴x=2k y=3k x=4k
∴(2x+3y-4z)/(x+y+z)
=(4k+9k-16k)/(2k+3k+4k)
=-3k/9k
=-1/3