Implicit Function Theorem

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Show that the equations $$2e^x + yu - 4v + 3 = 0$$ $$y \cos x - 6x + 2u - w = 0$$ can be solved for functions $$x = f_1(u,v,w)$$ $$y = f_2(u,v,w)$$ in a small ball with centre $(3,2,7)$ such that $f_1(3,2,7)=0$, $f_2(3,2,7)=1$.