已知三分之X=四分之Y=五分之Z,求分式X-2Y+3Z分之X+Y的值

问题描述:

已知三分之X=四分之Y=五分之Z,求分式X-2Y+3Z分之X+Y的值

设x/3=y/4=z/5=k,则:
x=3k,y=4k,z=5k;代入下式
(x+y)/(x-2y+3z)
=(3k+4k)/(3k-8k+15k)
=7/10

三分之X=四分之Y=五分之Z
x:y:z=3:4:5
设x=3a y=4a z=5a
(x+y)/(x-2y+3z)
=(3a+4a)/(3a-8a+15a)
=7a/10a
=7/10