Luisa found great deals on the target dollar spot. She bought 35 items and spent a total of 100 dollars on earbuds (2 dollars each) and fuzzysocks (3 dollars each). How many earbuds did she buy? how many fuzzy socks did she buy?

$2 * earbuds bought + $3 * fuzzy socks bought = 100

2x + 3 ( 35 - x) = 100

2x + 105 - 3x =100

-x = 100 - 105

-x = -5

x = 5 =number of earbuds bought

35 -5 = 30 = fuzzy socks bought