[tex]\bf t=165x+2771\qquad
\begin{cases}
x=\textit{years since 1996}\\
t=\textit{tuition average fees}\\
----------\\
t=5576
\end{cases}
\\\\\\
5576=165x+2771\implies 5576-2771=165x\implies 2805=165x
\\\\\\
\cfrac{2805}{165}=x\implies \boxed{17=x}\\\\
-----------------------------\\\\
1996+\boxed{17}\implies 2013[/tex]
