A method of making light olefins wherein the term "light olefins" refers to ethylene and/or propylene, the method comprising: combusting a fuel and an oxidizer in a combustion zone of a pyrolytic reactor to create a combustion gas stream; transitioning a velocity of the combustion gas stream from subsonic to supersonic in an expansion zone of the pyrolytic reactor; injecting a light hydrocarbon into the supersonic combustion gas stream to create a mixed stream including the light hydrocarbon; transitioning the velocity of the mixed stream from supersonic to subsonic in a reaction zone of the pyrolytic reactor to produce a reaction mixture comprising an alkyne, carbon oxide, and hydrogen; separating the reaction mixture in an absorber into an alkyne stream comprising the alkyne and a byproduct stream comprising the carbon oxide and the hydrogen; catalytically hydrogenating the alkyne in a hydrogenation zone to produce a product stream containing a first light olefin; treating the byproduct stream to convert at least a portion of the carbon oxide and the hydrogen to an oxygenated product in a carbon oxide conversion zone; treating the oxygenated product in an oxygenate conversion zone to convert at least a portion of the oxygenated product to produce an effluent comprising a second light olefin; separating the first light olefin from the product stream and separating the second light olefin from the effluent in a product separation zone; combining at least a portion of the product stream containing the first light olefin with at least a portion of the effluent containing the second light olefin to form a mixture; and wherein separating the first light olefin from the product stream and separating the second light olefin from the effluent in the product separation zone comprises separating the first light olefin and the second light olefin from the mixture in the product separation zone. combusting a fuel and an oxidizer in a combustion zone of a pyrolytic reactor to create a combustion gas stream; transitioning a velocity of the combustion gas stream from subsonic to supersonic in an expansion zone of the pyrolytic reactor; injecting a light hydrocarbon into the supersonic combustion gas stream to create a mixed stream including the light hydrocarbon; transitioning the velocity of the mixed stream from supersonic to subsonic in a reaction zone of the pyrolytic reactor to produce a reaction mixture comprising an alkyne, carbon oxide, and hydrogen; separating the reaction mixture in an absorber into an alkyne stream comprising the alkyne and a byproduct stream comprising the carbon oxide and the hydrogen; catalytically hydrogenating the alkyne in a hydrogenation zone to produce a product stream containing a first light olefin; treating the byproduct stream to convert at least a portion of the carbon oxide and the hydrogen to an oxygenated product in a carbon oxide conversion zone; treating the oxygenated product in an oxygenate conversion zone to convert at least a portion of the oxygenated product to produce an effluent comprising a second light olefin; separating the first light olefin from the product stream and separating the second light olefin from the effluent in a product separation zone; combining at least a portion of the product stream containing the first light olefin with at least a portion of the effluent containing the second light olefin to form a mixture; and wherein separating the first light olefin from the product stream and separating the second light olefin from the effluent in the product separation zone comprises separating the first light olefin and the second light olefin from the mixture in the product separation zone.