Find All Real Solutions to the System of Equations Using $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 100 \\x ^ { 2 } - y ^ { 2 } = 100\end{array}$

Multiple Choice

Find all real solutions to the system of equations using the addition method.
- $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 100 \\x ^ { 2 } - y ^ { 2 } = 100\end{array}$

A) (-10, 0) , (-10, 10)
B) (10, 0) , (-10, 0)
C) (10, 10) , (-10, 10)
D) (10, 0) , (10, 10)