Peter processed two catering orders at the sandwich shop where he works. the first order was for 7 trays of club sandwiches and 10 trays of vegetarian sandwiches. that order cost $149. the second order, which cost $10, was for 1 tray of vegetarian sandwiches. this situation is modeled by the matrix equation shown. determine the cost of a tray of club sandwiches and the cost of a tray of vegetarian sandwiches. *show work *

So if one tray of vegetarian sandwiches cost $10, that means that 10 trays of vegetarian sandwiches would cost $100 (10x10)

Going back to the first order, if we know that 10 trays of vegetarian sandwiches costs $100, then we can subtract that from our overall of $149, leaving us with the cost of 7 trays of club sandwiches

$149 - $100 = $49

therefore, $49 is the cost of 7 trays of club sandwiches

to find the cost of 1 tray, we need to divide $49, by 7

$49 / 7 = $7

therefore, one tray of club sandwiches costs $7 and one tray of vegetarian sandwiches costs $10

hope that was helpful :)