Question

HEY GUYS I NEED THIS ANSWER NOW

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

Elliot has 7 non fiction books and 19 fiction books

Answer 2

Let

x-------> the number of fiction books

y-------> the number of nonfiction books.

we know that

`x+y=26` -----> equation
`1`

`x=y+12`

`x-y=12` -----> equation
`2`

Add equation
`1` and equation
`2`

`x+y=26\\x-y=12\\ ------\\ 2x=38\\ x=38/2\\x=19\ fiction\ books`

find the value of y

`x+y=26`

`19+y=26`

`y=26-19=7\ nonfiction\ books`

therefore

the answer is

Part a) the number of fiction books is
`19\ fiction\ books`

Part b) the number of nonfiction books is
`7\ nonfiction\ books`