The town libary is raising money by selling old books for 4$ each write an equation that can be used to find the amount of money raised if the number of books sold is known.Let x represent the number of books sold and y represent the amount raised.

6550

Step-by-step explanation:

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Call the number of hardcover and paperback books, h and p.

Thus  

h + p = 8 and the value equation is

4h + 2p = 26

Now multiply the top one by four and subtract from the second one...we get

4h + 2p = 26

-(4h + 4p = 32)

-2p = -6

p = 3 so that

h = 5   x +  y = 8,    (1)

4x + 2y = 26,   (2)

where x and y are the numbers of hardcover and softcover books respectively.

To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get

4x - 2x = 26 - 16,   or

2x = 10,   or   x = 5 - the number of hardcover books purchased.

Then from the equation (1) you get y = 3.

Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.