solve for x

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vladmire: Master | Next Rank: 500 Posts; Posts: 132; Joined: Tue Oct 07, 2008 4:59 pm; Thanked: 4 times

by vladmire » Sun Feb 01, 2009 10:40 am

2x+1/3 +16 = 3x

This is what I did...

2x+1/3 + 48/3 = 3x

2x+1+48/3 = 3x

2x+49=9x

-7x = -49

x = 7

is this correct?

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Source: Beat The GMAT — Problem Solving | Sun Feb 01, 2009 10:40 am

truplayer256: Master | Next Rank: 500 Posts; Posts: 392; Joined: Thu Jan 15, 2009 12:52 pm; Location: New Jersey; Thanked: 76 times

by truplayer256 » Sun Feb 01, 2009 10:52 am

x=7 is incorrect. You can check your answer by plugging x=7 into the original equation:
2(7)+1/3+16=30 and 1/3
3(7)=21

30 and 1/3 doesn't equal 21..

The correct way to solve for x would be the following:

2x+1/3+48/3=3x
2x+49/3=3x
Why did you multiply the three here?
Just subtract 2x and you get x=49/3

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vladmire: Master | Next Rank: 500 Posts; Posts: 132; Joined: Tue Oct 07, 2008 4:59 pm; Thanked: 4 times

by vladmire » Sun Feb 01, 2009 11:26 am

I was thinking I had to have a common denominator on both sides. This makes more since. THanks

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