Two equation numbers within one set of brackets

Question

The following outputs two equations side-by-side, with the equation number after each equation:

\begin{minipage}{.5\linewidth}
\begin{equation}
 x = y
\end{equation}
\end{minipage}%
\begin{minipage}{.5\linewidth}
\begin{equation}
  y = z
\end{equation}
\end{minipage}

I would like to see if it looks better if the two equations stay in the same position, but with the (1) removed and the (2) becoming (1, 2) to reflect the numbers of both equations (in an assumed respective order). Is this possible?

I have searched but have only found questions asking if it is possible to only have one equation number for two equations. I want something similar to this, but displaying both equation numbers and only one set of brackets.

Answer 1

I hope you are not doing this very often, because that's not a good bookkeeping of equations.

\documentclass{article}
\usepackage{amsmath}


\begin{document}\noindent
From a distance real numbers are all the same
\begin{equation}
\pi = 3
\end{equation}
\begin{equation}
e = 3
\end{equation}
Then, 
\begin{equation}
\stepcounter{equation}
\cos(x)=\cot(x)\quad\implies s(x)=t(x)\tag{\theequation,\number\numexpr\theequation+1\relax}
\end{equation}
\stepcounter{equation}
since some mathematical pompous statement,
\begin{equation}
\int x=\sum y
\end{equation}
\end{document}