How to set and connect nodes inside a Beamer frame and hilight them

Question

I'd like to find a "simple" way to highlight two pieces of text and connect them with a path and a label on it.

For example, I need to make a slideshow to demonstrate how to solve linear systems to my pupils. I want to insist on some mathematical transformations I need to use by hilighting (with colors) and connecting parts on various formulas (with path and label nodes on it).

I have no MWE yet, as I'm still struggling with my first attempts, mixing TikZ and Beamer. I do know how to use \alt{colored maths}{standard maths}, I'm aware of the package aobs-tikz, but I cannot figure out how to use it with plain text and maths (it's difficult for me to handle the various size issues, like gaps with base line, etc.).

Is it possible to have a non-intrusive code that would say "create a node with this name, containing these maths, change its appearance from this to this steps" and then, at the end of the slide, create a tikzpicture with overlay settings that would allow me to connect this and this name on the right steps...

Hoping to be clear, thanks in advance for any help.

Edit : here is a not working very well example... Note that formulas are not well aligned on baseline, and that I cannot link them.

\documentclass{beamer}
\usepackage{etex}
\usepackage[utf8]{luainputenc} % --> oui ! Ça fonctionne pour œ !
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
\hypersetup{pdfencoding=utf8}
\usepackage{pgfplots,tikz}
\usetikzlibrary{arrows, arrows.meta, bending, calc, fadings, hobby, positioning, shadows, shadows.blur, shapes, shapes.misc, tikzmark}
\usetikzlibrary{overlay-beamer-styles}

\begin{document}

\begin{frame}
    \textbf{\Large Exemple}

    \small Résoudre $\begin{cases}3x+2y-4=0 & L_1 \\ 2x-5y-7=0 & L_2\end{cases}$\pause
    \begin{enumerate}[<+->]
        \item On isole $y$ dans $L_1$ : \pause $2y=-3x+4$ \pause d'où $y=-\dfrac32x+2$\pause
        \item Dans $L_2$, on remplace $y$ par l'expression précédente : \pause $2x-   \tikz[baseline] { \node[fill=red!40, fill on=<9>] (A) {$\!5\left(-\dfrac32x+2\right)\!$} ; }-7=0$ \pause
            d'où $2x+\tikz[baseline] { \node[fill=red!40, fill on=<9>] (B) {$\dfrac{15}2x-10$} ;}-7=0$ \pause
            d'où $\dfrac42x+\dfrac{15}2x-17=0$
    \end{enumerate}
    \begin{tikzpicture}[overlay]
        \draw[<->, red!40, very thick, draw on=<9>] (A) edge [bend left] (B) ;
    \end{tikzpicture}
\end{frame}

\end{document}

Answer 1

Something like this? I use \tikzmarknodes, which simplify things since they e.g. detect that one is in math mode, and visible on=<.(1)>, a trick that I learned from samcarter, which allows one to avoid hardcoded numbers like 9.

\documentclass{beamer}
\usepackage{etex}
\usepackage[utf8]{luainputenc} % --> oui ! Ça fonctionne pour œ !
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
\hypersetup{pdfencoding=utf8}
\usepackage{pgfplots,tikz}
\usetikzlibrary{arrows, arrows.meta, bending, calc, fadings, hobby, positioning, shadows, shadows.blur, shapes, shapes.misc, tikzmark}
\usetikzlibrary{overlay-beamer-styles}

\begin{document}

\begin{frame}
    \textbf{\Large Exemple}

    \small Résoudre $\begin{cases}3x+2y-4=0 & L_1 \\ 2x-5y-7=0 & L_2\end{cases}$\pause
    \begin{enumerate}[<+->]
        \item On isole $y$ dans $L_1$ : \pause $2y=-3x+4$ \pause d'où $y=-\dfrac32x+2$\pause
        \item Dans $L_2$, on remplace $y$ par l'expression précédente : \pause $2x-   \tikzmarknode[fill=red!20,inner sep=1.5pt, fill on=<.(2)>]{A}{5\left(-\dfrac32x+2\right)}-7=0$ \pause
            d'où $2x+\tikzmarknode[fill=red!20,inner sep=1.5pt, fill on=<.(1)>]{B}{\dfrac{15}2x-10}-7=0$\begin{tikzpicture}[overlay,remember picture]
        \draw[<->, red!40,stealth-stealth, very thick,visible on=<.(1)>] (A.north east) to[bend left] (B.north west) ;
    \end{tikzpicture}
 \pause
            d'où $\dfrac42x+\dfrac{15}2x-17=0$
    \end{enumerate}
    \end{frame}

\end{document}