y/x=5
x/y=1/5
(3x^2+5xy-3y^2)/(x^2-3xy-y^2)
=(3x/y^2+5x/y-3)/(x/y^2-3x/y-1)
=(3/25+1-3)/(1/25-3/5-1)
=(-47/25)/(-39/25)
=47/39
y/x=5
x/y=1/5
(3x^2+5xy-3y^2)/(x^2-3xy-y^2)
=(3x/y^2+5x/y-3)/(x/y^2-3x/y-1)
=(3/25+1-3)/(1/25-3/5-1)
=(-47/25)/(-39/25)
=47/39