One month henry rented 3 movies and 8 video games for a total of $58 . the next month he rented 5 movies and 2 video games for a total of $23 . find the rental cost for each movie and each video game.

rental cost for eachmovie: $

rental costfor each video game: $

Henry rented 3 movies and 8 video games for a total of $58
3m + 8v= $58
The next month he rented 5 movies and 2 video games for a total of $23.
5m + 2v = $23.

Grab an equation and solve it for one of the variables:
3m + 8v= $58
3m=58-8v
m=19.333-2.6666v

Then sub that result in for the variable in the other equation:
5(19.333-2.666666v )+ 2v = $23.
96.666 - 13.333v + 2v = $23.
96.666 - 11.333v = $23.
-11.333v = $23-96.666
-11.333v = -73.666
v=6.50

Now sub back in v in one of the equations:
5m + 2v = $23.
5m + 2(6.50) = $23.
5m+13 = 23
5m=10
m=2

The video games cost $6.50 and the Movies cost $2.00.

3($2.00) + 8($6.50) = $58
5($2.00) + 2($6.50) = $23.

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