Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } x ^ { 2 } + x y + y ^ { 2 } = 12 \\x + y = 2\end{array}$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { l } x ^ { 2 } + x y + y ^ { 2 } = 12 \\x + y = 2\end{array}$

A) {(4,-2) }
B) {(-2,4) }
C) {(4,-2) ,(-2,4) }
D) {(3,-1) ,(-3,5) }