calculus - How to graph the parametric equation: $y=e^{-t}$ and $x=e^{t}$

question

How to graph the parametric equation: $y=e^{-t}$ and $x=e^{t}$

I preferable would like to cancel out the t's on both sides so then I instinctively ln both sides but that gives me ln(x)=t and ln(y)=-t to devolve into me adding the two equations to finally devolve into the following:

x=y which doesn't seem like the real solution/equation to the problem