Question

请问,x=(a+1)/(a-1),y=(2a-3)/(3a-2)用x表示y

Answer 1

x=(a+1)/(a-1),

(a-1)x=a+1

a=(x+1)/(x-1)

y=(2a-3)/(3a-2)

=[2(x+1)/(x-1)-3]/[3(x+1)/(x-1)-2]

=[(5-x)/(x-1)]/[(x+5)/(x-1)]

=(5-x)/(5+x)