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

Answers

19 fiction books

7 nonfiction books

Explanation

x + y = 26   (i)

x – y = 12   (ii)

Elliot added the two equations and the result was

2x = 38.

Dividing both sides by 2;

x = 19

There are 19 fiction books.

Substituting x in equation (i),

x + y = 26             when x = 19

19 + y = 26

y = 26 - 19

   = 7

There are 7 nonfiction books

After solving the system of equations, Elliot has 19 fiction books and 7 nonfiction books.

Given the following system of equations:

Adding the two equations together, we have:

Dividing both sides by 2, we have:

x = 19 fiction books.

To find the value of y:

y = 7 nonfiction books.

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step-by-step explanation:

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table 3 represents a direct variation function. : )