[tex]\bf \begin{cases}
x=e^t-9\\\\
y=e^{2t}
\end{cases}\\\\
-----------------------------\\\\
x=e^t-9\implies x+9=e^t\implies ln(x+9)=ln(e^t)
\\\\\\
ln(x+9)=\underline{t}\\\\
-----------------------------\\\\
y=e^{2t}\iff y=e^{2\underline{ln(x+9)}}[/tex]
