(x-y)/xy=31/y-1/x=3(2x+3xy-2y)/(x-2xy-y)=(2/y+3-2/x)/(1/y-2-1/x)…………这一步分子分母同除以xy=[3+2(1/y-1/x)]/[-2+(1/y-1/x)]=(3+2×3)/(-2+3)=9
∵x-y/xy=3∴x-y=3xy2x+3xy-2y/x-2xy-y=[2(x-y)+3xy]/[(x-y)-2xy]=(6xy+3xy)/(3xy-2xy)=9xy/(xy)=9