\(\left\{{}\begin{matrix}P+N=39\\P=E=Z\\N-P=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}P+N=39\\N=P+1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}P+P+1=39\\N=P+1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}P=E=Z=19\\N=20\end{matrix}\right.\)
\(\left\{{}\begin{matrix}P+N=39\\P=E=Z\\N-P=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}P+N=39\\N=P+1\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}N+P+1=39\\N=P+1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}P=E=Z=19\\N=20\end{matrix}\right.\)