Posted by **Nini** on Thursday, May 17, 2012 at 11:52pm.

Home Size The average size F in square feet of new U.S. homes built during year x is estimated by the formula F = 34x - 65,734, where x is any year from 2002 to 2008. In which year was the average home size 2504 square feet?

- Algebra 1A -
**Steve**, Friday, May 18, 2012 at 12:02am
2504 = 34x - 65734

x = 2007

- Algebra 1A -
**Nini**, Friday, May 18, 2012 at 12:18am
Thanks Steve for the answer

But how did you get 2007? sorry I am just confused and I want to make sure I do it correct for any upcoming equations like this one.

- Algebra 1A -
**Nini**, Friday, May 18, 2012 at 12:41am
Thanks Steve... I think I got now..! :)

First I simplify the equation:

2504 = 34x + -65734

then reoder the equation to:

2504 = -65734 + 34x

Then add -34x to each side of the equation.

2504 + -34x = -65734 + 34x + -34x

Then I combine like terms 34x + -34x = 0

2504 + -34x = -65734 + 0

Then added -2504 to each side of the equation

2504 + -2504 + -34x = -65734 + -2504

Then I combine like terms: 2504 + -2504 = 0

0 + -34x = -65734 + -2504

-34x = -65734 + -2504

Combine like terms: -65734 + -2504 = -68238

-34x = -68238

Then I divided -34 which it equals to:

x = 2007

Therefore, the year with the average home size of 2504 square feet? 2007

- Algebra 1A -
**Steve**, Friday, May 18, 2012 at 10:15am
Nice work, but w-a-a-a-y too much :-)

2504 = 34x - 65734

add 65734 to each side:

68238 = 34x

divide by 34

2007 = x

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