已知7x+5y/2y-x=3/2,且x≠0,求X/x-4y

题目

已知7x+5y/2y-x=3/2,且x≠0,求X/x-4y

答案

(7x+5y)/(2y-x)=3/2 x/(x-4y)
2(7x+5y)=3(2y-x)
14x+10y=6y-3x
17x+4y=0
x-4y=18x
x/(x-4y)=x/(18x)=1/18