若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z的值

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若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z的值若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z的值若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z

若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z的值
若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z的值

若x+y/5=y+z/6=z+x/7,且xyz≠0,求x:y:z的值
设x+y/5=n;
则x+y=5n ①
y+z=6n ②
z+x=7n ③
(①+②+③)/2 得 x+y+z=9n ④
④-①得z=4n
④-②得x=3n
④-③得y=2n
∴x:y:z=3:2:4