Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

Question

2 years ago

8

and y represent the number of nonfiction books. Which system of linear equations represents the situation?

2 answers:

Fittoniya [83] · Answer 1 · 2023-06-18T07:23:33+03:00

5 0

<span>x + y = 26 and x – y = 12 hope this helps

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Marta_Voda [28] · Answer 2 · 2023-06-18T05:24:34+03:00

Given:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.

To Find:

A system of linear equations represents the situation.

Answer:

$x+y=26\\\\x=y+12$

Step-by-step explanation:

We are given that x represents the number of fiction books and y is the number of non-fiction books.

We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write

$x+y=26$

Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write

$x=y+12$

So, the total system of equations can be represented as

$x+y=26\\\\x=y+12$