Hmm, so how could you infer that from just looking at the equations?
Basically just what fun_jirachi said.
In equation a, for every mol of methane, there is 2 mol of oxygen. This means a ratio of at least 1:2 (methane : oxygen) is required for complete combustion. In equation b, for every 2 mol of methane, there is 3 mol of oxygen. For there to be enough oxygen for complete combustion, you would need 4 mols of oxygen, but we are short of 1 mol. Therefore, there is not enough oxygen for complete combustion in reaction b. For this, you need to determine stoichiometric mol rations.
This mole ratio is not the first thing you should look at to determine if it's complete or incomplete combustion though. A rule that applies to all combustion reactions is that complete combustion always results in CO2 and incomplete combustion always results in CO. I suggest you take this into consideration first, because if you see CO as a product, then you know for sure it is incomplete combustion and can rule out complete combustion entirely.
Hope this helped!
