Hi, can anyone help me solve this

x^2-y^2=4

2x^2+2y^2+3x=4

I multiplyed the first line by -2 and got

-2x^2-2y^2=-8

Then added to the second line where I got

4y^2+3x=-4

So I got the system :

4y^2+3x=-4

x^2-y^2=4

Substitute the second line in the first one then solve the system, but still the result aren't that convinsing that it's solved well.