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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. This system of equations models the number of books. x + y = 26 x – y = 12 Elliot added the two equations and the result was 2x = 38. Solve the equation. How many fiction books does Elliot have?  fiction books How many nonfiction books does Elliot have?  nonfiction books

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The number of fiction and nonfiction books Elliot has is 19 and 7 respectively

How to solve simultaneous equation

let

  • x = number of fiction books
  • y = number of nonfiction books

Given:

x + y = 26

x – y = 12

  • Add both equations to eliminate y

x + x = 26 + 12

2x = 38

x = 38/2

x = 19

substitute x = 19 into

x + y = 26

19 + y = 26

y = 26 - 19

y = 7

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