Answer:
Rental cost of each movie = $2
Rental cost of each video game = $6.5
Explanations:
Let the rental cost of each movie be "x"
Let the rental cost of each video game be "y"
If in one month Reuben rented 5 movies and 2 video games for a total of $23, this can be expressed as:
5x + 2y = 23 .............................. 1
If in the next month he rented 3 movies and 8 video games for a total of $58, then;
3x + 8y = 58 ............................... 2
Solve the equations simultaneously using the elimination method
5x + 2y = 23 .............................. 1 * 4
3x + 8y = 58 ............................... 2 * 1
Multiply equation 1 by 4 and equation 2 by 1 to have;
20x + 8y = 92 .............................. 3
3x + 8y = 58 ............................... 4
Subtract equation 3 from 4
20x - 3x = 92 - 58
17x = 34
x = 34/17
x = 2
Substitute x = 2 into equation 1 to get the value of "y"
Recall that 5x + 2y = 23
5(2) + 2y = 23
10 + 2y = 23
2y = 23 - 10
2y = 13
y = 13/2
y = 6.5
This shows that the rental cost of each movie is $2 and the rental cost of each video game is $6.5