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Serjik
9 days ago
9

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
Mathematics
2 answers:
Leona [12.1K]9 days ago
4 0

Responses

19 fiction books

7 nonfiction books


Explanation

x + y = 26............................................. (i)

x – y = 12............................................ (ii)

By adding the two equations, Elliot obtained the result of

2x = 38.

When divided by 2;

x = 19

Therefore, there are 19 fiction books.

Substituting x into equation (i),

x + y = 26            when x = 19

19 + y = 26

y = 26 - 19

   = 7

This means there are 7 nonfiction books

Leona [12.1K]9 days ago
4 0

Answer:

Which equation corresponds to the scenario? x+(x-12)=26

Step-by-step explanation:

Verification marks confirm it

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