NEED HELP! I have another Real analysis question that I am needing help with. I posted this in the calculus section but the question will expire in a couple of hours and no one has responded. It is attached as a pic.

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5. Let h : R > R be a continuously differentiable function with MO) : 0, and consider the following system of equations: 693 + My) = U2, ey Mac) : v2. Show that there exists a neighborhood V C R2 of (1,1) such that for each (aw) E V there is a solution (3:, y) E R2 to this system