Give All Solutions of the Nonlinear System of Equations, Including $x ^ { 2 } + y ^ { 2 } = 113$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $x ^ { 2 } + y ^ { 2 } = 113$ $x - y = 1$

A) $\{ ( - 7 , - 8 ) , ( 8,7 ) \}$
B) $\{ ( 7,8 ) , ( 8,7 ) \}$
C) $\{ ( - 7,8 ) , ( - 8,7 ) \}$
D) $\{ ( 7 , - 8 ) , ( 8 , - 7 ) \}$