Solve the System by the Method of Substitution $$\left\{ \begin{aligned}x ^ { 2 } - 12 y ^ { 2 } & = 144 \\x ^ { 2 } + y ^ { 2 } & = 1\end{aligned} \right.$$

Multiple Choice

Solve the system by the method of substitution. $$\left\{ \begin{aligned}x ^ { 2 } - 12 y ^ { 2 } & = 144 \\x ^ { 2 } + y ^ { 2 } & = 1\end{aligned} \right.$$

A) $( 0,12 ) , ( 0 , - 12 )$
B) $\left( 12 , \frac { 1 } { 12 } \right) , \left( 12 , - \frac { 1 } { 12 } \right) , \left( - 12 , \frac { 1 } { 12 } \right) , \left( - 12 , - \frac { 1 } { 12 } \right)$
C) (12 $2 \sqrt { 3 }$ , 12 $\sqrt { 13 }$ ) , (12 $2 \sqrt { 3 }$ , 12 $\sqrt { 13 }$ ) , ( 12 $2 \sqrt { 3 }$ ,12 $\sqrt { 13 }$ ) , ( 12 $2 \sqrt { 3 }$ , 12 $\sqrt { 13 }$ )
D) $\left( \frac { 155 } { 11 } , - \frac { 144 } { 11 } \right)$
E) no solution exists