This is a real analysis problem that I need some help with. It involves a system of equations. It is a proof based question so please cite whatever theorem you use. The question is attached as a picture. Thanks!

JO 5 . Let ` : IR -> IR be a continuously differentiable function with h ( O ) = O, and consider the following system of equations :` ex + h ( 3 ) = 2 2) ey - h ( ac ) = 2 2\\ Show that there exists a neighborhood V C RR Z of ( 1 , 1 ) such that for each ( 2 , 0) EV there is a solution ( ac , y ) ER _ to this system