The \[...\] is used to typeset a single equation, not multiple equations.
You need to use an environment that allows for multiple equations. One way is to use gather, but I normally use align, both from the amsmath package:

Notes:
- With display math environments if you leave blank lines in between you get additional vertical spacing and the possibility of a page break between a paragraph and following display.
- If you don't want the equations numbered use the starred versions of the environments:
gather* and align*.
- A really good reference is Herbert Voss's comprehensive review of mathematics in (La)TeX.
Code:
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{gather}
a + b = c \\
a = c - b
\end{gather}
%
With the align environment you can align equations:
%
\begin{align}
a + b &= c \\
a &= c - b
\end{align}
\end{document}