Which Reduction potential of Water to use in Electrolysis

[Ryan Danis 1J]

In 7th edition chapter 6.O, the exercises tell use to base our answers off of the potentials in the appendix with the exception of the reduction/oxidation of water at pH=7:

2H2O(l) + 2e- -> H2(g) + 2OH-(aq). E = -0.42V at pH=7

O2(g) + 4H+(aq) + 4e- -> 2H2O(l). E = +0.82 at pH=7

Which potential of water do we use (and why) when deciding whether a metal ion or water will be reduced at the cathode?

[Chem_Mod]

The first one has OH- so the solution should be basic and the second one should be acidic (H+).