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
Answers
Answered by
2
Answer:
there are 7 nooks
Step-by-step explanation:
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
Answered by
1
Answer:
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books.
Which equation represents the situation?
✔ x + (x – 12) = 26
How many fiction books does Elliot have?
✔ 19
How many nonfiction books does Elliot have?
✔ 7
Step-by-step explanation:
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