Manuela has a total of 40 DVD's of movies and TV shows. The number of movies is 4 less than 3 times the number of television shows.Write and solve a system of equations to find the number of movies...

Manuela has a total of 40 DVD's of movies and TV shows. The number of movies is 4 less than 3 times the number of television shows.

Write and solve a system of equations to find the number of movies and TV shows she has on DVD

Expert Answers
jeew-m eNotes educator| Certified Educator

Let;

The number of TV shows = x

The number of movies = y

 

It is given that;

The number of movies is 4 less than 3 times the number of television shows.

`y = 3x-4`

 

If you rearrange this;

`y-3x = -4` -----(1)

 

Also we know that;

`x+y = 40 ` ----(2)

 

(2)-(1)

`4x = 44`

` x = 11`

 

From (2);

`y = 40-11 = 29`

 

The number of TV shows = 11

The number of movies = 29