Determine the Real Solutions to the System of Nonlinear Equations $$6 x ^ { 2 } + 8 y ^ { 2 } = 128$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$6 x ^ { 2 } + 8 y ^ { 2 } = 128$$
$$y = x + 4$$

A) $( 0,4 ) , \left( \frac { 32 } { 7 } , \frac { 60 } { 7 } \right)$
B) $( 0,4 ) , \left( - \frac { 32 } { 7 } , - \frac { 4 } { 7 } \right)$
C) $( 0 , - 4 ) , \left( - \frac { 32 } { 7 } , - \frac { 4 } { 7 } \right)$
D) $( 0 , - 4 ) , \left( \frac { 32 } { 7 } , \frac { 60 } { 7 } \right)$