Express t and s as functions of x and y given

[sapiental]

Homework Statement

How do I express t and s as functions of x and y given

x = -(2t+1)*s/(t^2-1)
y = e^(t + ln|s|)
I keep getting stuck in a loop.

Homework Equations

substitution

The Attempt at a Solution

x= -(2t+1)*s/(t^2-1) I get t = sqrt(1-s/x)

t = sqrt(1-s/x)

s = e^(-t)y

substituting the terms in either expression gets me stuck in a loop. What am I doing wrong?

what I need is t = T(x,y) and s = S(x,y). The other important part is that s needs to stay any real number.

Thanks!

 

[Dick]

I don't think you have a prayer of finding a nice expression for T and S. Why do you want to do this? Ask yourself if you really have to.