Let's represent the price of a movie with m, and the price of a video game with v:
4m + 8v = 57
2m + 3v = 23
I'm going to use the subtraction method:
4m + 8v = 57
-4m - 6v = -46
2v = 11
v = 5.5
Insert this variable:
2m + 16.5 = 23
2m = 6.5
m = 3.25
A movie costs $3.25 and a video game costs $5.50