Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } 3 y - x = 10 \\x ^ { 2 } + y ^ { 2 } - 100 = 0\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } 3 y - x = 10 \\x ^ { 2 } + y ^ { 2 } - 100 = 0\end{array}$$

A) $\left( 0 , \frac { 10 } { 3 } \right) , \left( 6 , \frac { 16 } { 3 } \right)$
B) $( 10,0 ) , ( - 10,0 ) , ( 8,6 )$
C) $( - 10,0 ) , ( 8,6 )$
D) $\left( 0 , \frac { 10 } { 3 } \right) , \left( 0 , - \frac { 10 } { 3 } \right) , \left( 6 , \frac { 16 } { 3 } \right)$