Solving four equations for four variables ----crack it

Hi all,

I have four equations with four unknowns which cannot be said as neither polynomial nor algebraic. So I dont know how to solve with MATLAB.

The eqn are as follows:

3.52T-7145.3X^2+2.30237TX^2+19700Y^2-15.89TY^2+489+8.314T(ln(1-Y) – ln (1-X)) = 0 ....(1)

-60.19E-20T^7 – 11.274634T + 15.89TY^2 – 2.20171Z^2 + 3.0438TZ^3 – 19700Y^2 – 1583.4Z^3 + 6996.2Z^2 + 4183.124 + 8.314T(ln(1-Z) – ln (1-Y)) = 0 .........(2)

8.46T+ 19700 (1-X)^2 – 15.89T (1-X)^2 – 7145.3 (1-Y)^2 +2.30237(1-Y)^2 – 5510 + 8.314T (ln X – ln Y) = 0 ...........(3)

147.031E-20T^7-5.62777T-1.5219T(1-Z)^2 [1-2Z]+ 6204.5(1-Z)^2 – 0.67981 T(1-Z)^2 + 791.7(1-Z)^3 – 791.7{(Z)(1-Z)^2 } – 7145.3(1-Y)^2 +2.30237T(1-Y)^2 +1593.092 + 8.314T(ln Z – ln Y) = 0 .........................(4)

How to solve this as it is of mixed kind?

Pls help me to crack this.

Regards,

Surendar