The local bookstore is having a sole on used books. nate bought 3 hardcover books and 7 paperback books and spent 29.50. tia bought 2 hardcover books and 5 paperback books and spent 20.50. what is the cost of a hardcover book

The first thing we must do for this case is to define variables.

We have then:

x = cost of a hardcover book

y = cost of a paperback book

We write the system of equations:

3x + 7y = 29.50

2x + 5y = 20.50

The solution to the system is:

x = 4 $

y = 2.5 $

Answer:

the cost of a hardcover book is $ 4