# Rotate whole coordinate system

I'm kinda new in TikZ, so question may sound stupid. How can I rotate the whole coordinate system? This is what I have (simple 3D coordinate system):

\begin{tikzpicture}[x=1cm, y=1cm, z=-0.6cm]
% Axes
\begin{scope}[rotate=0]
\draw [<->] (-3,0,0) -- (12,0,0) node [at end, right] {$z$};
\draw [<->] (0,-4,0) -- (0,4,0) node [at end, left] {$y$};
\draw [<->] (0,0,2) -- (0,0,-4) node [at end, left] {$x$};
\end{scope}
\end{tikzpicture}

So, this is an output:

And, this is what I'm trying to represent (I'm talking only about coordinate system and how it rotated):

Any help will be appreciated.

Using this solution from Tom Bombadil, you can adjust each axis to give it the angle and aspect you want.

\documentclass[tikz,border=3.141592mm]{standalone}

\begin{document}

\newcommand{\xangle}{30}
\newcommand{\yangle}{90}
\newcommand{\zangle}{-10}

\newcommand{\xlength}{1}
\newcommand{\ylength}{0.5}
\newcommand{\zlength}{1}

\pgfmathsetmacro{\xx}{\xlength*cos(\xangle)}
\pgfmathsetmacro{\xy}{\xlength*sin(\xangle)}
\pgfmathsetmacro{\yx}{\ylength*cos(\yangle)}
\pgfmathsetmacro{\yy}{\ylength*sin(\yangle)}
\pgfmathsetmacro{\zx}{\zlength*cos(\zangle)}
\pgfmathsetmacro{\zy}{\zlength*sin(\zangle)}

\begin{tikzpicture}[
x={(\xx cm,\xy cm)},
y={(\yx cm,\yy cm)},
z={(\zx cm,\zy cm)}
]
% Axes
\begin{scope}
\draw [<->] (-2,0,0) -- (2,0,0) node [at end, right] {$x$};
\draw [<->] (0,-4,0) -- (0,4,0) node [at end, left] {$y$};
\draw [<->] (0,0,-2) -- (0,0,6) node [at end, above] {$z$};
\end{scope}
\end{tikzpicture}

\end{document}

edit: I deleted two lines in the code that were redundant (copy fail).