How can I turn on and turn off numbering equations with systeme?

Question

I see this question

I don't want to number all equations of my document. How can I do it?

 \documentclass[12pt,a4paper]{article}
    \usepackage{systeme}
    \renewcommand{\SYSeqnum}{\value{equation}}
    \sysautonum{(**)}
    \begin{document}
    \renewcommand{\SYSeqnum}{\value{equation}} 
    \sysautonum{(**)}
    \setcounter{equation}{2}
    \[ \systeme{x + 2 y - 3 z  -4 = 0 @\gdef\foo{**}(**), 
        x  - 2 y + 4 z  -3=0@\gdef\bar{**}(**), 
        3 x - 5 y - z  +2 = 0   @\gdef\baz{**}(**)}  \]
\[ \systeme{x + 2 y - 3 z  -4 = 0 @\gdef\foo{**}(**), 
    4 y -7 z  -1=0@\gdef\bar{**}(**), 
    11 y - 8z  -14 = 0   @\gdef\baz{**}(**)}     \]

\[ \systeme{x + 2 y - 3 z  -4 = 0 @\gdef\foo{**}(**), 
    44 y -77 z  -11=0@\gdef\bar{**}(**), 
    44 y - 32z  -56 = 0   @\gdef\baz{**}(**)}  \]

\[ \systeme{x + 2 y - 3 z  -4 = 0 @\gdef\foo{**}(**), 
    44 y -77 z  -11=0@\gdef\bar{**}(**), 
    - 45z  + 45 = 0   @\gdef\baz{**}(**)}    \]

I \textit{don't want} to number the following equations 

\[ \systeme{x + 2 y - 3 z  -4 = 0 @\gdef\foo{**}(**), 
    44 y -77 z  -11=0@\gdef\bar{**}(**), 
    - 45z  + 45 = 0   @\gdef\baz{**}(**)}    \]

    I  want to number the following equations 

    \[ \systeme{x + 2 y - 3 z  -4 = 0 @\gdef\foo{**}(**), 
        44 y -77 z  -11=0@\gdef\bar{**}(**), 
        - 45z  + 45 = 0   @\gdef\baz{**}(**)}    \]

\end{document}