I try to write a system of linear equations by this format in Jupyter Notebook that not support `\systeme` , I can do the first block that contains equation in both sides by

```
\begin{align*}
\left\{
    \begin{alignedat}{5}
     \color{green} x& {}\color{green}{+}{} & \color{green}{2y}& {}\color{green}+{} & \color{green}{3z} & \color{green}{=} &\color{green}{6} \\
     2x& {}-{} & 3y& {}+{} & 2z & = &14 \\
     3x& {}+{} & y& {}-{} & z  & = &-2
    \end{alignedat}
\right . \xrightarrow{\text{multiply first by -3}}
    \left\{
    \begin{alignedat}{5}
     \color{green} {-3x}& {}\color{green}{+}{} & \color{green}{-6y}& {}\color{green}-{} & \color{green}{9z} & \color{green}{=} &\color{green}{-18} \\
     2x& {}-{} & 3y& {}+{} & 2z & = &14 \\
     3x& {}+{} & y& {}-{} & z  & = &-2
    \end{alignedat}
\\ 
\\
\left\{
    \begin{alignedat}{5}
     {}& {}{}{} & {}{}{} & {} & {} {} \\
     \\
     \\
    \end{alignedat}
  \right . \xrightarrow{\text{multiply first by -3}}    
\right .  
\left\{
\begin{alignedat}{5}
     \color{green} {-3x}& {}\color{green}{+}{} & \color{green}{-6y}& {}\color{green}-{} & \color{green}{9z} & \color{green}{=} &\color{green}{-18} \\
     2x& {}-{} & 3y& {}+{} & 2z & = &14 \\
     3x& {}+{} & y& {}-{} & z  & = &-2
    \end{alignedat}
\right . 
\end{align*}

```

But I have no idea how to aligned other blocks.

[![Sample of the the](https://i.stack.imgur.com/m74IN.png)](https://i.stack.imgur.com/m74IN.png)