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agebra

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Sam and Chris went to “Lots O Fun” to play laser tag and video games for Chris’s birthday. Sam played 3 games of laser tag, 5 video games, and spent $17 total. Chris played 4 games of laser tag, 7 video games, and spent $23 total. How much does one video game cost to play?

  • agebra - ,

    L=laser tag, V=video games
    3L+5V=17 (1)
    4L+7V=23 (2)
    Since the question asks only about the video games, we want to eliminate the L's. We can do this by multiplying the first equation by 4 and the second equation by -3.
    12L+20V=68 (3)
    -12L-21V=-69 (4)
    Add 3 and 4 together.
    -V=-1
    V=1
    Video games are $1 each. If you had to solve for laser tag, you would the substitute v=1 into equation 1 or 2.

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