1. 1/3x = 1/2x - 5

5 = 1/6x

x = 30

2. x + 1/x = 10/3

x^2 + 1 = 10/3x

x^2 - 10/3x + 1 = 0

3x^2 - 10x + 3 = 0

(3x - 1) (x - 3) = 0

Thus x = 1/3 or x = 3

Once again: Hope it helps!

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- May 2nd 2007, 06:31 AM #1
## Help Please!

Use the five step method to solve each of the following. Make sure to check your work.

1. One-third of a number is 5 less than half of the same number. What is the number?

2. The sum of a number and it's reciprocal is 10/3. What is the number?

I have never been good at word problems. Can anyone please help me? Thank you!

- May 2nd 2007, 06:51 AM #2