First equation :

Can be written :

And may also be written :

Substitute the left-hand-side into the second equation :

Becomes :

Which simplifies to

There is something terribly wrong with your system, you are sure you didn't make an error while copying them on the forum ?

EDIT : ahah good working mathceleb, didn't think about the discriminant. By the way, is it correct to say that since his equation simplifies to , there cannot exist any solutions ? Or is it better to use the discriminant ?