SOLUTION: A library contains 2000 books. There are 3 times as many non-fiction books as fiction books. Write and solve a system of equations to determine the number of non-fiction and fictio

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Question 1023780: A library contains 2000 books. There are 3 times as many non-fiction books as fiction books. Write and solve a system of equations to determine the number of non-fiction and fiction books.
Found 2 solutions by Alan3354, fractalier:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Solve for x.
log6^(2x-5)+1=log6^(7x+10)
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Is it base 6?

Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website!
Call the numbers of fiction and non-fiction books, x and y, respectfully.
Thus you can write
x + y = 2000
and
y = 3x
Now to solve, substitute the second equation into the first and get
x + 3x = 2000
4x = 2000
x = 500 fiction books and then
y = 3x = 1500 non-fiction books