can these equations be solved locally near u=1, v=2 for c1 functions x=x(u,v) , y=y(u,v) with x(1,2) =1 , y(1,2)= -1
these are the equations:
u^2xy^2 + uvx+y = 2
vx^2 + u^2y^2 + uv =5
If so, find the partial of x in respect to u at (1,2) .