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Sedaia [141]
2 years ago
8

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. Which system of linear equations represents the situation?
Mathematics
2 answers:
Fittoniya [83]2 years ago
5 0
<span>x + y = 26 and x – y = 12 hope this helps


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</span>
Marta_Voda [28]2 years ago
4 0

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

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