Question

Can someone plz help D:!!!!!!!!!!!!!

Answer 1

`m=10\\v=(10)/(3)`

Explanation:

2 movies and 6 video games for $40.
`2m+6v=40` 5 movies and 3 video games for $25.
`5m+3v=25`

We set up systems of equations.

`2m+6v=40`

`5m+3v=25`

`5(2m+6v=40)\\2(5m+3v=25)\\` <-- This step is done so we can make the numbers before the
`m` the same.

`10m+30v=200\\10m+6v=50\\`<-- Notice now how the numbers before the
`m` are the same.

Now, since the numbers before the
`m` are the same, we subtract to get rid of them.

`24m=150`

We now know that
`m=10`

Replace 10 as
`m` in the first eqation to find
`v`:
`2(10)+6v=40`

Solve

`20+6v=40\\6v=20\\v=(20)/(6) = (10)/(3)`

Therefore
`m=10\\v=(10)/(3)`