Why was the plan to allow students to go to schools closest to their own neighborhood ineffective in desegregating the schools?

Because shools became way too overpopulated. Some neighbourhood's are bigger then other others thus some schools had a lack of kids and some schools had too many kids.

women should have the same rights as men

powers  are  denied  to the  national governmentin three distinct ways: some  powers, such as the  power  to levy duties on exports or prohibit the freedom of religion, speech, press, or assembly, are expressly  denied  to the  national government  in the  constitution.