Solve this system of non linear equations.

Question

x^2 + y^2 = 16 

3x^2 – y^2= 20?

Answer 1

Given equations 

From (1) we get  

Substituting   in (2) we get 

Now solving for the value of y when x =3:

Substituting the value of x = 3 in (1)

Hence the value of