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?Responsesx+y=26 and x+y=12x plus y is equal to 26 and x plus y is equal to 12x+y=26 and x−y=12x plus y is equal to 26 and x minus y is equal to 12x−y=26 and x+y=12x minus y is equal to 26 and x plus y is equal to 12x+y=26 and −x+y=12
Question
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?Responsesx+y=26 and x+y=12x plus y is equal to 26 and x plus y is equal to 12x+y=26 and x−y=12x plus y is equal to 26 and x minus y is equal to 12x−y=26 and x+y=12x minus y is equal to 26 and x plus y is equal to 12x+y=26 and −x+y=12
Solution
The system of linear equations that represents the situation is x+y=26 and x−y=12. This is because the total number of books (both fiction and nonfiction) is 26, and the number of fiction books is 12 more than the number of nonfiction books.
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