Let's assume that Michael went on the roller coaster ride x times and the boat ride (10-x) times. Since the roller coaster costs 4 tickets per ride and the boat ride costs 3 tickets per ride, the total number of tickets spent can be expressed as:
4x + 3(10-x) = 37
Simplifying the equation, we get:
4x + 30 - 3x = 37
x + 30 = 37
x = 7
Therefore, Michael went on the roller coaster ride 7 times and the boat ride 3 times.
So the correct equation is:
4x + 3(10-x) = 37
4(7) + 3(10-7) = 37
28 + 9 = 37
37 = 37
Thus, the equation is true.