Give All Solutions of the Nonlinear System of Equations, Including $x^{2}-x y+y^{2}=3$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $x^{2}-x y+y^{2}=3$
$2 x^{2}+x y+2 y^{2}=12$

A) $\{(2,0) ,(-2,0) ,(1,0) ,(-1,0) \}$

B) $\{(2,1) ,(-2,-1) ,(1,2) ,(-1,-2) \}$

C) $\{(1,0) ,(-1,0) \}$

D) $\{(2,1) ,(1,2) \}$