We know that
• You buy one pair of jeans, four pairs of shorts, and two shirts for $84.
,• Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76.
,• Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52.
Let'ts call x a pair of jeans, y a pair of shorts, and z a pair of shirts.
The system of equations that represent this situation is
[tex]\left\{ \begin{aligned}x+4y+2z=84 \\ 2x+y+3z=76 \\ x+2y+z=52\end{aligned}\right.[/tex]The augmented matrix would be
1 4 2 84
2 1 3 76
1 2 1 52
Using a calculator, the cost of each piece of clothing would be
[tex]\begin{gathered} x=20 \\ y=12 \\ z=8 \end{gathered}[/tex]