已知X=Y-1除以Y+1用X的代数式表示Y

问题描述:

已知X=Y-1除以Y+1用X的代数式表示Y


x=(y-1)/(y+1)
x(y+1)=y-1
xy+x=y-1
y(x-1)=-x-1
y=(x+1)/(1-x)

x=(Y-1)/(y+1)
xy+x=y-1
(1-x)y=1+x
Y=(1+x)/(1-x)