Solving a word problem using a system of linear equations

Question

one month keith rented 12 movies and 2 video games for a total of $65. the next month he rented 3 movies and 5 video games for a total of $41. find the rental cost for each movie and each video gme

Answer 1

Let M= cost of movie and V = cost of video

12M + 2V = 65

3M + 5V = 41

Multiply the second equation by 4

12M + 2V - 65

12M + 20V = 164

Subtract the first equation from the 2nd

18V - 99

You should be able to solve it from here.

When you get the value for V, put it into the first equation to solve for M.