Step-by-step explanation:
x = number of adult tickets
y = number of kid tickets
x + y = 580
x = 580 - y
12x + 7y = 4860
now we are using the transformed first equation in the second :
12(580 - y) + 7y = 4860
12×580 - 12y + 7y = 4860
6960 - 5y = 4860
2100 - 5y = 0
2100 = 5y
y = 2100/5 = 420
x = 580 - y = 580 - 420 = 160
so, whatever option that answer is in the your actual list of possible answers, but the right answer is
160 adult tickets
420 kid's tickets