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ss7ja [257]
3 years 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:
AlladinOne [14]3 years ago
4 0

<u>Answers</u>

19 fiction books

7 nonfiction books


<u>Explanation</u>

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

lidiya [134]3 years ago
4 0

Answer:

Which equation represents the situation? x+(x-12)=26

Step-by-step explanation:

Check marks prove it

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