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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

Respuesta :

smmwaite

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

Lanuel

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

  • Let x represent the number of fiction books.
  • Let y represent the number of nonfiction books.

Given the following system of equations:

 [tex]x + y = 26\\\\x - y = 12[/tex]

Adding the two equations together, we have:

[tex]2x = 38[/tex]

Dividing both sides by 2, we have:

[tex]x = \frac{38}{2}[/tex]

x = 19 fiction books.

To find the value of y:

[tex]x + y = 26\\\\y = 26 - x\\\\y = 26 - 19[/tex]

y = 7 nonfiction books.

Find more information: https://brainly.com/question/4728821

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