First equation :
Can be written :
And may also be written :
Substitute the left-hand-side into the second equation :
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 ?