Consider the following set of linear equations $\begin{aligned}
x_{1}+x_{2}+x_{3} &=6 \\
2 x_{1}+2 x_{2}+3 x_{3} &=14 \\
3 x_{1}+x_{2}+2 x_{3} &=14
\end{aligned}$ The solution for this set exists only when the value of $x_{2}$ is____________________
Consider the following set of linear equations $\begin{aligned}
x_{1}+x_{2}+x_{3} &=6 \\
2 x_{1}+2 x_{2}+3 x_{3} &=14 \\
3 x_{1}+x_{2}+2 x_{3} &=14
\end{aligned}$ The solution for this set exists only when the value of $x_{2}$ is____________________