Answer:
Let x be the rent for a movie and y is the rent for a video game
The following system of equations:
5x + 2y = 31 (1)
3x + 8y = 56 (2)
Solving the system of equations above we have:
x = (31-2y) / 5 (1) => replace x in (2) 3 ((31-2y) / 5) + 8y = 56 => y = $ 5.5
Replace y = $ 5.5 for (1) => x = ((11 - 11) / 5) = 4
So the rent for a movie is $ 5.5 and the price for renting a video games is $ 4
Step-by-step explanation: