Question

One month Isabel rented 5 movies and 2 video games for a total of$26 . The next month she rented 3 movies and 8 video games for a total of $53. Find the rental cost for each movie and each video game.

Answer 1

Answer:

a movie, m is 3

a video game, v is 5.5

Brainliest would be really appreciated. (need it to unlock chat)

Feel free to ask further questions if you feel like it.

Till then, have a nice day

Step-by-step explanation:

I 5m+2v=26

II 3m+8v=53

I 5m+2v=26 devide by 2 on both sides

5/2m+v=13 subtract 5/2m om both sides

v=13-5/2m

Now put this whole thing in the other equation II, replacing the v there

3m+8(13-5/2m)=53 just calculate it

3m+104-20m=53

-17m+104=53 subtract 53 on both sides

-17m+51=0 add 17m on both sides

51=17m devide by 17

3=m

we found m, v is easy

now put m in an equation from the start, let's take equation I here

I 5m+2v=26

5*(3)+2v=26

15+2v=26 subtract 15 on both sides

2v = 11 devide by 2

v = 5.5

So we found m and v, prices for single items. we can proof this when we put m and v into a given equation and the if it equals a true value

m & v in II

II 3m+8v=53

3*(3)+8*(5.5)=53

9+44=53

53=53

Seems legit.