what is the first and second equation

Question

Tickets for the homecoming dance cost $35 for a single ticket or $60 for a couple. Ticket sales totaled $14,000 and 260 people attended.

Answer 1

s + c = 260

35s +60c = 14000

35s +35c = 260(35) = 9100

subtract to eliminate one variable, s

leaving

25c = 4900

c = 4900/25 = 196 couple tickets sold

s = 260-196 = 64 single tickets sold

35(64) + 60(196) = 14000