Question

A sporting goods store sells 3 fishing reels and 4 fishing rods for $523. Later, they sell 9 fishing reels and 3 fishing rods for $507. Find the price of each item.

Answer 1

-3(3f+4s=523)+(9f+3s=507)

-9f-12s+9f+3s=-1569+507

-9s=-1062

s=118,  making 3f+4s=523 become:

3f+472=523

3f=51

f=17

So the reels are $17 each and the rods are $118 each.