This
\[ \begin{cases} u_1 =a, \\ u_{n+1} =r + u_{n}, \end{cases} \qquad\qquad\qquad \begin{cases} v_1 =a, \\ v_{n+1} =rv_{n}. \end{cases} \]
should produce two cases constructions with some horizontal spacing between them as in
In MathJax the horizontal spacing produced by the \qquad 's is ignored. Example (look for item number 9.) in https://cdi1tp.math.tecnico.ulisboa.pt/praticas/2
Thanks for the report. This seems to be a problem with the semantic enrichment (that's active on your site for collapsible rendering).
cc @zorkow
Spacing is not really lost but for some reason it is moved to the front during the enrichment. I'll make it an SRE issue.
Resolved in SRE patch version 2.0.1
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Resolved in SRE patch version 2.0.1