Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } x ^ { 2 } + x y + y ^ { 2 } = 19 \\x + y = 2\end{array}$$

question 142

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } x ^ { 2 } + x y + y ^ { 2 } = 19 \\x + y = 2\end{array}$$

• A) \(\{ ( 5 , - 3 ) \}\)
• B) \(\{ ( 4 , - 2 ) , ( - 4,6 ) \}\)
• C) \(\{ ( 5 , - 3 ) , ( - 3,5 ) \}\)
• D) \(\{ ( - 3,5 ) \}\)

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