Solve the System by the Substitution or Elimination Method $$\left( \begin{array} { r l r } x ^ { 2 } + y ^ { 2 } & = 61 \\x + y & = - 1\end{array} \right)$$

Short Answer

Solve the system by the substitution or elimination method. $$\left( \begin{array} { r l r } x ^ { 2 } + y ^ { 2 } & = 61 \\x + y & = - 1\end{array} \right)$$ Express your answer as an ordered pair. If there is more than one solution, separate your answers with a comma.