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miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. the prices at the bookstore are based on whether the book is hardcover or paperback. it charges $2 less for paperback books than for hardcover books. what is the price for hardcover books?

For this case we propose a system of equations:

a: Let the variable representing the cost of hardcover books

b: Let the variable representing the cost of paperback books

According to the statement data we have:

Substituting the second equation into the first we have:

Thus, the cost of hardcover books is $12

The cost of hardcover books is $12

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step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: