The specific answer linked to in the question references a short story by a named author, and points to where it can be found, but does not really describe the solution used by that author, short of a brief mention that the specific solution is not explicitly discussed in the work in question.
That is effectively what we already consider an outgrowth of link-only answers, and besides the network-wide consensus that link-only answers are not answers, those have been discussed here previously in the specific context of Worldbuilding SE.
The consensus there is essentially (but do follow the links for a more in-depth discussion) that such answers are not answers. Because they are not answers, if they are posted as answers, they should be deleted. A diamond moderator can choose to convert a non-answer answer to a comment, but don't fret it if a moderator isn't around.
Consequently, in a case like this, you would (depending on your reputation) most likely pick either Recommend Deletion or Delete.
Also, if you don't know what to do with a post you are reviewing, never be afraid to click Skip. In the review queues, "Skip" literally means "I don't know what to do with this post". Clicking Skip is never the wrong choice. It might be a suboptimal choice, but you will be leaving making an actual choice to those in the community who feel more confident about what to do with the post in question. It's better to click Skip than to click Looks OK if you are uncertain. Heck, I've had a diamond right here on Worldbuilding, and I've been close to being elected moderator twice, and I end up clicking Skip in review queues more often than I really care to admit, for a wide variety of reasons.
It's worth keeping in mind that except for diamond moderators, delete votes are just that, votes. It takes at least a few delete votes to actually delete a post, and the number of delete votes needed to delete a post grows with things like the net score of the post in question. So no matter what you do, unless you have a diamond attached to your name here, it won't be only you who delete a post.
And of course, deletes in the Stack Exchange model are soft deletes; the post will remain viewable to high reputation users, who are able to vote to undelete, or flag for moderator attention, if they feel it shouldn't have been deleted.
The person who wrote a post which has been deleted can access it relatively easily for a while by going to their profile, following the tab link to either questions or answers, and at the bottom of that page following the link to deleted recent questions or deleted recent answers, as appropriate. They are then able to edit it to bring it in line with the site's standards, after which they can either flag it for moderator attention or simply bring it up e.g. in chat to draw attention to it and hopefully have it undeleted, or failing that, at least receive further advice on how the post needs to be improved before it can be undeleted.