Solve the System by the Method of Substitution $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\- 6 x + y = 5\end{array} \right.$$

Multiple Choice

Solve the system by the method of substitution. $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\- 6 x + y = 5\end{array} \right.$$

A) $( 0,25 ) , ( - 30 , - 175 )$
B) $( 0,5 ) , ( 30,185 )$
C) $( 0,5 ) , \left( - \frac { 60 } { 37 } , - \frac { 175 } { 37 } \right)$
D) $( 0,25 ) , \left( - \frac { 60 } { 37 } , - \frac { 175 } { 37 } \right)$
E) no solution exists