[Python] Solve a 2 equations systems of quadratic equations with 2 unknows [closed]

I would like to solve this system of equation for X and Y :

Do you know if their exist a mathematical solution to this system ? And how to solve it ?

If yes, do you think their is a way to solve it with Python ?

My problem is that I have a numpy array of a thousand coefficients a. Do you think it's possible to solve a thousand system of 2 equation ? Do you think Python will do it rapidly ?

I didn't try anything.

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