Question 660492
Let s be the average price of a movie ticket in Switzerland and j be the average price of a movie ticket in Japan.  So we have:
(1) 3j + 2s = 79.51
(2) 2j + 3s = 75.54
Let's multiply both sides of the first equation by 3 to get:
(1a) 9j + 6s = 238.53
And let's multiply both sides of the second equation by 2 to get:
(2a) 4j + 6s = 151.08
Subtract equation (2a) from equation (1a):
9j + 6s - 4j - 6s = 238.53 - 151.08
Combine like terms:
5j = 87.45
Divide both sides by 5:
j = 17.49
Substituting 17.49 for j in the first equation:
3*17.49 + 2s = 79.51
52.47 + 2s = 79.51
Subtracting 52.47 from both sides:
52.47 + 2s - 52.47 = 79.51 - 52.47
2s = 27.04
Divide both sides by 2:
s = 13.52

So the average ticket price in Japan is $17.49 and the average ticket price in Switzerland is $13.52