Let the system of linear equations -x+2 y-9 z=7; -x+3 y+7 z=9; -2 x+y+5 z=8; -3 x+y+13 z=λ has a unique solution x=α, y=β, z=γ. Then the distance of…

Let the system of linear equations $$\begin{aligned} & -x+2 y-9 z=7 \\ & -x+3 y+7 z=9 \\ & -2 x+y+5 z=8 \\ & -3 x+y+13 z=\lambda \end{aligned} $$ has a unique solution $\displaystyle x=\alpha, y=\beta, z=\gamma$. Then the distance of the point $\displaystyle (\alpha, \beta, \gamma)$ from the plane $\displaystyle 2 x-2 y+z=\lambda$ is