Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?

The total number of books is 26, so fiction plus nonfiction gives x + y = 26. Elliot has 12 more fiction books than nonfiction books, so x = y + 12, which rearranges to x − y = 12. Therefore, the correct choice is B: x + y = 26 and x − y = 12.

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