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 no
Question
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
2 Answer

1. User Answers 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

2. User Answers 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.
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