Josh and justin when to the farmers market. josh purchased 11 tomatoes and 13 ears of corn, and justin purshased 7 tomatoes and 4 ears of corn. if josh spent $48.19 and justin spent $21.48, and both people purchased their items from the same vendor, how much did the vendor charge for a single tomato and a single ear of corn?

tomatoes=$3.2

corn=$1

Step-by-step explanation:

11x+13y=48.19

11x=48.19-13y

x=(48.19/11)-(13/11)

x=3.2

11(3.2)+13y=48.19

35.2+13y=48.19

13y=13

y=1

is there answer choices?

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,