Answer:
The equilibrium will shift to the right, towards the products
Step-by-step explanation:
According to Le Chatelier's principle, when a reaction at equilibrium is subjected to changes in pressure, temperature, concentration etc then the equilibrium will shift in a direction to undo the effect of the induced change.
The given reaction is:
CO(g) + 3H2(g) ↔ CH4(g) + H2O(g)
If CH4 were removed from the reaction, then the equilibrium will shift in a direction to facilitate the production of more CH4 i.e. it shift to the right, favoring the products.