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\documentclass[a4paper,12pt]{article}
\usepackage[italian]{babel}
\usepackage[utf8x]{inputenc}
%\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\begin{document}
% esempio di equation
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Ut purus elit, vestibulum ut, placerat ac,
\begin{displaymath}
\begin{array}{l}
x+y+z=0\\
2x-y=1\\
y-4z=-3
\end{array}
\end{displaymath}
adipiscing vitae, felis. Curabitur dictum gravida mauris.
\begin{equation}
\begin{array}{l}
x+y+z=0\\
2x-y=1\\
y-4z=-3
\end{array}
\end{equation}
Nam arcu libero, nonummy eget, consectetuer id, vulputate a, magna.
\begin{equation}
\left\{
\begin{array}{l}
x+y+z=0\\
2x-y=1\\
y-4z=-3
\end{array}
\right.
\end{equation}
Donec vehicula augue eu neque.
% % esempio di cases e multiline
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Ut purus elit, vestibulum ut, placerat ac,
\begin{displaymath}
f(n):=
\begin{cases}
2n+1 & \text{se $n$ è dispari,}\\
n/2 & \text{se $n$ è pari.} \\
\end{cases}
\end{displaymath}
adipiscing vitae, felis. Curabitur dictum gravida mauris.
\begin{multline}
f=a+b+c+d+e+g+h \\
+i+k+l+m+n+o+\\
+p+q+r+s+t+u+v
\end{multline}
Nam arcu libero, nonummy eget, consectetuer id, vulputate a, magna.
\end{document}
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