Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{aligned}y & = x + 2 \\x ^ { 2 } - y ^ { 2 } & = 4\end{aligned} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{aligned}y & = x + 2 \\x ^ { 2 } - y ^ { 2 } & = 4\end{aligned} \right.$

A) $( - 2,0 ) , ( 2,0 )$
B) $( 2,0 )$
C) $\varnothing$
D) $( - 2,0 )$