Explanation:
x = number of notes by Chase
y = number of notes by Carly
x + y = 52
x = y + 12
to solve we simply use the identity given by equation 2, by putting it into equation 1 :
(y + 12) + y = 52
2y + 12 = 52
2y = 40
y = 20
Carly made 20 thank-you-notes.