Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown. The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.

We are given 21 pounds of tomatoes and 9 pounds of mixed peppers from Mike's garden.

let x = the number of batches of salsa that can be made

y = number of batches of tomato sauce that can be made

a = pounds of mixed peppers needed

b = pounds of tomatoes needed

we need to set-up two equations that will represent x and y:

x = 9/a + 21/b

y = 9/a + 21/b

these two equations can be used if we have the amount of mixed peppers and tomatoes needed to make salsa and tomato sauce.