已知x:y:z=4:5:7,求:(1)2x+3y+z/5z; (2)x+y/y+z.

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已知x:y:z=4:5:7,求:(1)2x+3y+z/5z; (2)x+y/y+z.
已知x:y:z=4:5:7,求:(1)2x+3y+z/5z; (2)x+y/y+z.

已知x:y:z=4:5:7,求:(1)2x+3y+z/5z; (2)x+y/y+z.

X:Y:Z=4:5:7
设X=4K 那么Y=5K Z=7K
2X+3Y+Z=8K+15K+7K=30K
5Z=35K
原式=30K/35K=6/7
X+Y=9K Y+Z=12K
原式=9K/12K=3/4

根据x:y:z=4:5:7设出x=4a,y=5a,z=7a
(1)2x+3y+z/5z=(2*4a+3*5a+7a)/(5*7a)=30a/35a=6/7
(2)x+y/y+z=(4a+5a)/(5a+7a)=9a/12a=3/4

设x=4t,则y=5t,z=7t(1)2x+3y+z/5z=8t+15t+7t/35t=6/7
(2)x+y/y+z=4t+5t/5t+7t=3/4

(1)(2x+3y+z)/5z=6/7;
(2)(x+y)/(y+z)=3/4.