Answer
If $350$ deluxe models are produced, then $122$ basic models will be produced.
Work Step by Step
Substituting $
y=350
$ in the given equation, $
55x+75y=33000
,$ results to
\begin{array}{l}\require{cancel}
55x+75(350)=33000
\\
55x+26250=33000
\\
55x=33000-26250
\\
55x=6750
\\
x=\dfrac{6750}{55}
\\
x=122.72727272727272727272727272727
.\end{array}
Hence, if $350$ deluxe models are produced, then $122$ basic models will be produced.