There are 20 hardcover and paperback books in a box. There are 10 more hard cover books then paperback books. Right and solve a system of linear equations to find the number of paperback books and the number of hard cover books

Let H represent hardcover

let P represent paperback

H + P = 20

H = P + 10

sub in H into the first eq'n

(P + 10) + P = 20

2P + 10 = 20

2P = 10

P = 5

sub P into eq'n 2

H + (5) = 20

H = 15

therefore there are 5 paperback books and 15 hardcover