Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
Alright, denote sweatshirts by x and tshirts by y: for billy: 2x+3y=35$ for jordan:3x+3y=45$ We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0) 2x+3y=35$ - 3x+3y=45$ = -1x=-10$ we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y: 2x+3y=35$ 2(10)+3y=35$ 20+3y=35$ 3y=15 y=15/3 y=5 Hope this helps!
