If X= [x; y; z] is a solution of the system of equations A X=B, where adj A= [4, 2, 2; -5, 0, 5; 1, -2, 3] and B = [4; 0; 2], then |x+y+z| is equal…

If $\displaystyle X=\left[\begin{array}{c}x \\ y \\ z\end{array}\right]$ is a solution of the system of equations $\displaystyle A X=B$, where $\displaystyle \operatorname{adj} A=\left[\begin{array}{ccc}4 & 2 & 2 \\ -5 & 0 & 5 \\ 1 & -2 & 3\end{array}\right]$ and $\displaystyle \mathrm{B}=\left[\begin{array}{l}4 \\ 0 \\ 2\end{array}\right]$, then $\displaystyle |x+y+z|$ is equal to :