Essentially I'm trying to obtain something like this (without the f(x) bit), but with custom labels, which I can't seem to do.
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{align*}
\begin{cases}
x+y &= 3 &&& \text{5} \\
x-y &= 1 &&& \text{6} \\
\end{cases}
\end{align*}
\end{document}
But it just doesn't work.
I additionally tried the numcases solution in the link, but it seems like I can't manually tag it.
Here is my attempt with the empheq package:
\documentclass[preview]{standalone}
\usepackage{amsmath,empheq}
\usepackage{cases}
\begin{document}
\begin{empheq}{align*}
\begin{cases}
x+y &= 3 \tag{5} \\
x-y &= 1 \tag{6}
\end{cases}
\end{empheq}
\end{document}
The problem over here is that it shows only a (5) next to both the equations somewhere vertically in the center, not a (5) for one equation and a (6) for the other ;P

tagin anumcasesenvironment it seems.... – Skeleton Bow Oct 30 '16 at 17:34\tag, I'm not at a pc so cannot do it for you. – daleif Oct 30 '16 at 18:03cases? it's possible to have nothing on the left preceding the brace; just leave the first argument empty{}. – barbara beeton Oct 30 '16 at 18:22