3d Geometry

Let the system of linear equations


$-x+2 y-9 z=7$


$-x+3 y+7 z=9$


$-2 x+y+5 z=8$


$-3 x+y+13 z=\lambda$



has a unique solution $x=\alpha, y=\beta, z=\gamma$. Then the distance of the point



$(\alpha, \beta, \gamma)$ from the plane $2 x-2 y+z=\lambda$ is :