Too confusing to figure out.

Question

Souvenir hats, T-shirts, and jackets are sold at a rock concert. Two hats, two T-shirts, and one jacket cost $141. Three hats, three T-shirts, and two jackets cost $239. One hat, three T-shirts, and three jackets cost $262. Find the prices of the individual items.

Answer 1

2x + 2y + z = 141

3x+3y+2z = 239

x+3y+3z = 262

-3 * eq3 + eq2

-2 * eq3 + eq1

-4y -5z = -383

-6y -7z = -547

4y + 5z = 383

6y + 7z = 547

6 times eq #1 and -4 times eq #2

24y + 30z = 2298

-24y + -28z = -2188

2z = 110

z = 55

24y + 30(55) = 2298

y = (2298 - 30*55 )/24=27

x=16