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.

This system of equations models the number of books.

x + y = 26

x – y = 12

Elliot added the two equations and the result was 2x = 38.

Solve the equation. How many fiction books does Elliot have?

Answer 1

Answer: ["19" fiction books] ["7" nonfiction books]

Step-by-step explanation:

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Answer 2

Given:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. x represents the number of fiction books and y represent the number of nonfiction books.

x + y = 26

x – y = 12

and after adding the above two equations, Elliot get,

2x = 38

To find:

The solution to the equation and the number of fiction books that Elliot has.

Solution:

As given,

x = total number of fiction books

y = total number of non-fiction books

and,

x + y = 26 (i)

x – y = 12 (ii)

Also,

2x = 38

After solving the above, we get

x = 38/2

x = 19

which is the number of fiction books.

On putting the value of x in the equation (i), we get,

19 + y = 26

y = 26 - 19

y = 7

which is the number of non-fiction books.

Hence, the solution to the equation is x = 19 and y = 7. Also, the number of fiction books that Elliot has is 19.