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

Question

asked Sep 14, 2022 124k views

1 Answer

Rais Alam · Answer 1 · 2022-09-18T18:45:36+0000

Answer:

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

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
the same.

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

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

24m=150

We now know that
m=10

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

Solve

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

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