已知x/1=y/3=z/5(x不等于0),求(x+3y-z)/(x-3y+2z)的值.

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已知x/1=y/3=z/5(x不等于0),求(x+3y-z)/(x-3y+2z)的值.

设x=a,则y=3a,z=5a,
(x+3y-z)/(x-3y+2z)
=(a+3*3a-5a)/(a-3*3a+2*5a)
=5a/2a
=5/2

设x/1=y/3=z/5=k
x=k
y=3k
z=5k
(x+3y-z)/(x-3y+2z)
=(k+3*3k-5k)/(k-3*3k+2*5k)
=5k/2k
=5/2