The value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.
Step-by-step explanation:
Given that our school is selling T-shirts and sweatshirts as a fundraiser, and one student buys 2 Tt-shirts and 2 sweatshirts for $ 26, while another student buys 1 T-shirt and 3 sweatshirts for $ 33, to determine the value of the T-shirts and sweatshirts the following calculation must be made:
2X + 2Y = 26
X + 3Y = 33
Y - X = 7
2 x 3 + 2 x 10 = X
6 + 20 = X
26 = X
Therefore, the value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.