1. The problem statement, all variables and given/known data Show that the equations xy^2+zu+v^2=3 x^3z+2y-uv=2 xu+yu-xyz=1 can be solved for (x,y,z) as functions of (u,v) near the point (x,y,z,u,v)=(1,1,1,1,1) and find dy/du at (u,v)=(1,1) 2. Relevant equations Multivariable calculus differentiation 3. The attempt at a solution I want to know if I'm doing this correctly (I don't think I am). What I did was find the Jacobian and plug the point into that to get a numerical matrix. Then I take determinants of matrices consisting of [x/y/z u v] (or is it [x y z]?) and show that none of them are zero. Then I find the inverse of [u v] and do [u v]^-1 * [x y z] I'm not very good at this.