For the system of equations below, check whether the two conditions in the Implicit

Function Theorem are satisfied at point A = (x, y, t) = (1, 1, 0), where x and y are

variables and t is a parameter. If yes, find the expression for &dx/&dt and evaluate it at A.

EQ#1 xy2 − y = 5t

EQ#2 2yt = x3 – 1

Pretty confused as to where to start, i think it may involve a jacobian matrix however?