A method (100) for obtaining olefins is proposed, wherein a first gas mixture (b), which is produced by a steam
cracking process (1), is at least partially used to form a first separation feedstock (f) which contains hydrocarbons with one to five carbon atoms, and from which at least a first separation product (g) and a second separation product (h, o) are produced, the first separation product (g) containing at least the greater proportion of the hydrocarbons with one
carbon atom and of the hydrocarbons with two carbon atoms contained in the first separation feedstock (f), and the second separation product (h, o) containing at least the greater proportion of the hydrocarbons with four carbon atoms and of the hydrocarbons with five carbon atoms contained in the first separation feedstock (f), and wherein a second gas mixture (r) which is produced by an
oxygenate-to-olefin process (2) is used at least partially to form a second separation feedstock (t) which contains hydrocarbons with one to five carbon atoms, and from which at least a third separation product (e, y) and a fourth separation product (l, z) are produced, the third separation product (e, y) containing at least the greater proportion of the hydrocarbons with one
carbon atom and of the hydrocarbons with two carbon atoms contained in the second separation feedstock (t), and the fourth separation product (l, z) containing at least the greater proportion of the hydrocarbons with four or five carbon atoms contained in the second separation feedstock (t). The third separation product (e, y) is also at least partially used to form the first separation feedstock (f), and a third separation feedstock (h, l) (o, z) is formed from at least part of the fourth separation product (l, z) and of the second separation product (h, o) and is subjected to a separation (14).