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.

The system of equations models the total costs for each.

x + y = 26
x – y = 12
Elliot added the two equations and the result was
2x = 38.

Solve the equation. How many of each type of book does Elliot have?

fiction books

nonfiction books

Answer 1

Explanation:

As 2x -38

x-19

now.

putting value in eq 1

X-Y-12

thus,19-Y =12

Y=7

Fiction books=X=19