14. [9] You have a $2 \times 3$ grid filled with integers between 1 and 9 . The numbers in each row and column are distinct, the first row sums to 23 , and the columns sum to 14,16 , and 17 respectively.
\begin{tabular}{c|c|c|c|} 
& 14 & 16 & 17 \\
\hline 23 & $a$ & $b$ & $c$ \\
\hline & $x$ & $y$ & $z$ \\
\hline
\end{tabular}

What is $x+2 y+3 z$ ?