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16 March, 14:06

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.

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  1. 16 March, 16:45
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    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.
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