Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { c } 2 x ^ { 2 } + x y + 2 y ^ { 2 } = 2 \\3 x ^ { 2 } - 5 x y + 3 y ^ { 2 } = 3\end{array}$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { c } 2 x ^ { 2 } + x y + 2 y ^ { 2 } = 2 \\3 x ^ { 2 } - 5 x y + 3 y ^ { 2 } = 3\end{array}$

A) {(1,0) ,(-1,0) }
B) {(1,0) ,(-1,0) ,(0,1) ,(0,-1) }
C) {(1,0) }
D) {(1,0) ,(0,1) }