The Augmented Matrix Is Given for a System of Equations $$\left[ \begin{array} { r r r } 1 & - 5 & - 1 \\0 & 0 & 7\end{array} \right]$$

Multiple Choice

The augmented matrix is given for a system of equations. If the system is consistent, find the general solution.
Otherwise state that there is no solution.
- $$\left[ \begin{array} { r r r } 1 & - 5 & - 1 \\0 & 0 & 7\end{array} \right]$$

A) $( - 1,7 )$
B) $x _ { 1 } = - 1 + 5 x _ { 2 }$
$x _ { 2 }$ is free
C) No solution
D) $x _ { 1 } = - 1 + 5 x _ { 2 }$
$x _ { 2 } = 7$
$x _ { 3 }$ is free