Determine which system below will produce infinitely many solutions.
select one:
a. −6x + 3y = 18
4x − 3y = 6

b. 2x + 4y = 24
6x + 12y = 36

c. 3x − y = 14
−9x + 3y = −42
d. 5x + 2y = 13

−x + 4y = −6

325 Hamburgers.

Step-by-step explanation:

This may seem complicated at first due to us not knowing how much either hamburgers or cheeseburgers were sold, but we can easily set up an equation with variables and solve this using the numbers provided.

x = # of hamburgers sold.

x + 61 = # of cheeseburgers sold.

1) x + x + 61 = 711 (set both burgers equal to the total sold)

2) 2x + 61 = 711 (added common variables together)

3) 2x = 650 (negated the +61, subtracted it from both sides)

4) x = 325 (divided both sides by 2)

5) 711 - 325 = 386 (subtracted the x from the total number of burgers sold, to recieve the amount of cheeseburgers' tickets.

Thus,

Since there were fewer hamburgers sold, the smaller number (325) is the correct answer.

(Final Answer)

Cheeseburgers sold: 386

Hamburgers sold: 325

Total sold: 711