jayden and carson are selling t-shirts and sweatshirts for a fundraiser. jayden sells 9 t-shirts and 3 sweatshirts for $288. carson sells 1 t-shirt and 6 sweatshirts for $270. solve the system of equations for this situation. using elimination

sweatshirts cost $42

t-shirts cost $18

Step-by-step explanation:

9x+3y=288

x+6y=270

substitute 270-6y for x in the first problem

9 (270-6y) + 3y=288

2430-54y+3y=288

2430-51y=288

51y=-2142

y=42

then plug y=42 into the second equation

x+6 (42) = 270

x+252=270

x=18