at a used book sale each paperback book cost x dollars and each hardcover book cost y dollars.

One customer purchased 7 paperback books and 5 hardcover books and paid $10.80
Another customer purchased 3 paperback books and 6 hardcover books
What system of equations can be used to find the cost of 1 paperback book and the cost of 1 hardcover book?

Let's denote the cost of one paperback book as $x and the cost of one hardcover book as $y.

From the information given, we can create two equations:

For the first customer who purchased 7 paperback books and 5 hardcover books:
7x + 5y = 10.80

For the second customer who purchased 3 paperback books and 6 hardcover books:
3x + 6y = ?

We need the information on how much the second customer paid to complete the second equation.