Is the Ordered Triple a Solution to the Given System $$\begin{aligned}5 x - 4 y + 10 z & = - 6 \\10 x + 2 y - 15 z & = 26 \\15 x - 2 y + 10 z & = - 7\end{aligned}$$

Multiple Choice

Is the ordered triple a solution to the given system of equations?
- $$\begin{aligned}5 x - 4 y + 10 z & = - 6 \\10 x + 2 y - 15 z & = 26 \\15 x - 2 y + 10 z & = - 7\end{aligned}$$

A) $\left( \frac { 5 } { 2 } , \frac { 2 } { 5 } , - \frac { 9 } { 5 } \right)$
B) $\left( \frac { 2 } { 5 } , - \frac { 5 } { 2 } , - \frac { 9 } { 5 } \right)$
C) $\left( - \frac { 2 } { 5 } , \frac { 5 } { 4 } , \frac { 9 } { 5 } \right)$
D) $\left( \frac { 5 } { 2 } , - 2 , \frac { 9 } { 5 } \right)$