Let m = movies, let v = video games.
6m + 5v = 44
2m + 3v = 22
Multiply the first equation by 3 and the second equation by - 5
18m + 15v = 132
- 10m - 15v = - 110
Notice, the v-variables cancel each other out. Combine like terms, you are left with:
8m = 22
Divide both sides by 8.
m = 2.75
Plug this into either equation to solve for V.
2(2.75) + 3v = 22
5.50 + 3v = 22
3v = 22 - 5.50
3v = 16.50
Divide both sides by 3 to isolate variable v.
v = 5.50
Movies cost $2.75 and video games cost $5.50.
