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I am doing a physics project report. I want to write a system of multiple equations and nominate them as if they were subequations. I need to label them separately to make references to them later, like the following :

\documentclass{article}
\usepackage[french]{babel}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{subequations} \label{syst3d}
    \begin{gather}
        \partial_t \Delta v_z - \mathcal{P}(\Delta^2 v_z + \Delta_\mathrm{h}\theta) = 0 \label{syst3d1} \\
        \partial_t \theta = \Delta \theta + \mathcal{R} v_z \label{syst3d2}
    \end{gather}
\end{subequations}
\end{document}

If I do that, I have indeed the two equations labelled 1.a and 1.b. But there are not aligned and there is not a bracket { . So I did some research and I found a code like this :

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{equation}
    \begin{cases}
      \partial_t \Delta v_z - \mathcal{P}(\Delta^2 v_z + \Delta_\mathrm{h}\theta) = 0 \\
      \partial_t \theta = \Delta \theta + \mathcal{R} v_z\\
    \end{cases}       
\end{equation}
\end{document}

In this I have indeed the { but not a nomination like in subequations, just a (1) for all the system. I also can't label them, there is a package error "multiple labels". I tried to replace "\begin{equation}" by a "\begin{subequations}" but the nomination disappears and there is an error "missing $ inserted"... I hope it is not a question already asked by someone. If there is, may you give me the link because I didn't find it ?

Ewlan
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