For instance, how do I add a break after the first line in
\[
a + b = c // what should I add here?
a = c - b
\]
For instance, how do I add a break after the first line in
\[
a + b = c // what should I add here?
a = c - b
\]
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:

gather* and align*.\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}
In case gather is not an option, for example, an imported command where everything is in math mode, consider make them a single-columned matrix without showing the symbol, then you can use \\.
Code:
\[
\begin{array}{c}
a + b = c \\ % just use \\
a = c - b
\end{array}
\]
array environment, the content is (by default) in \textstyle rather than in \displaystyle. Hence, for example, a fraction written with \frac{}{} will be smaller than in an usual display math environment, and the limits of a sum or of an integral will be displayed differently. But one could simply add a \displaystyle command in cells where this behavior should be changed.
– Vincent
Mar 28 '20 at 21:50
Why not use two modes.
\[
a + b = c
\]
\[
a = c - b
\]
align, it shows everything on the same line. My code: http://pastebin.com/FwwSmiCp Result: image description – Tomáš Zato Jan 16 '17 at 09:46