# Algebra Question

**URL:** <https://boards.straightdope.com/t/algebra-question/202974>\
**Category:** Factual Questions\
**Created:** [September 21, 2003, 3:15pm UTC](https://boards.straightdope.com/t/algebra-question/202974 "2003-09-21T15:15:57Z")\
**Posts on this page:** 8\
**Page:** 1

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**Author:** ![thwartme](https://avatars.discourse-cdn.com/v4/letter/t/ecc23a/32.png) [@thwartme](https://boards.straightdope.com/u/thwartme)\
**Post date:** [September 21, 2003, 3:15pm UTC](https://boards.straightdope.com/t/algebra-question/202974/1 "2003-09-21T15:15:57Z")

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Hey gang,

A little help for the mathematically challenged, if you’d be so kind.

In the equation:

(x-y)/x = 0.35

How could I solve for x?

Thanks,  
Thwartme

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**Author:** ![Joey\_P](https://avatars.discourse-cdn.com/v4/letter/j/919ad9/32.png) [@Joey\_P](https://boards.straightdope.com/u/Joey_P)\
**Post date:** [September 21, 2003, 3:22pm UTC](https://boards.straightdope.com/t/algebra-question/202974/2 "2003-09-21T15:22:02Z")

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(x-y)/x=.35  
x-y=.35x  
-y=.35x-x  
-y=x(.35-1)  
x=-y/.65

That should be your answer, some of the lines could be formatted differently, but in the end you should get a similar(well, the same) answer.

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**Author:** ![Absolute](https://avatars.discourse-cdn.com/v4/letter/a/b2d939/32.png) [@Absolute](https://boards.straightdope.com/u/Absolute)\
**Post date:** [September 21, 2003, 3:23pm UTC](https://boards.straightdope.com/t/algebra-question/202974/3 "2003-09-21T15:23:14Z")

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(x-y)/x = .35

x-y = .35x : multiply by x

-y = .35x -x : subtract x

y = x - .35x : invert signs

y = x (1 - .35) : factor out x

x = y / .65 : divide

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**Author:** ![Joey\_P](https://avatars.discourse-cdn.com/v4/letter/j/919ad9/32.png) [@Joey\_P](https://boards.straightdope.com/u/Joey_P)\
**Post date:** [September 21, 2003, 3:23pm UTC](https://boards.straightdope.com/t/algebra-question/202974/4 "2003-09-21T15:23:17Z")

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WAIT, missed a negative sign.  
This is the correct answer.  
(x-y)/x=.35  
x-y=.35x  
-y=.35x-x  
-y=x(.35-1)  
x=-y/-.65  
x=y/.65

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**Author:** ![thwartme](https://avatars.discourse-cdn.com/v4/letter/t/ecc23a/32.png) [@thwartme](https://boards.straightdope.com/u/thwartme)\
**Post date:** [September 21, 2003, 3:25pm UTC](https://boards.straightdope.com/t/algebra-question/202974/5 "2003-09-21T15:25:24Z")

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Man, that was fast! You folks rock!

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**Author:** ![C\_K\_Dexter\_Haven](https://avatars.discourse-cdn.com/v4/letter/c/b2d939/32.png) [@C\_K\_Dexter\_Haven](https://boards.straightdope.com/u/C_K_Dexter_Haven)\
**Post date:** [September 21, 2003, 3:44pm UTC](https://boards.straightdope.com/t/algebra-question/202974/6 "2003-09-21T15:44:22Z")

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And, as a footnote, multiplying both sides of the equation by x requires the assumption that x =/ 0

How come we’re doing your homework?

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**Author:** ![Joey\_P](https://avatars.discourse-cdn.com/v4/letter/j/919ad9/32.png) [@Joey\_P](https://boards.straightdope.com/u/Joey_P)\
**Post date:** [September 21, 2003, 4:09pm UTC](https://boards.straightdope.com/t/algebra-question/202974/7 "2003-09-21T16:09:51Z")

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> [@](#):
>
> \*Originally posted by C K Dexter Haven \*  
> \*\*And, as a footnote, multiplying both sides of the equation by x requires the assumption that x =/ 0
> 
> How come we’re doing your homework? \*\*

That wouldn’t be a requirement of multiplication would it? As presented to us, X can’t be zero since it’s already on the bottom.  
[sub]BTW Dexter, I just saw The Philidelphia Story, I always wondered what your name meant[/sub]

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**Author:** ![Achernar](https://avatars.discourse-cdn.com/v4/letter/a/e274bd/32.png) [@Achernar](https://boards.straightdope.com/u/Achernar)\
**Post date:** [September 21, 2003, 4:52pm UTC](https://boards.straightdope.com/t/algebra-question/202974/8 "2003-09-21T16:52:08Z")

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The thing is, (x, y) = (0, 0) is not a solution to the original equation, even though the form x = y / 0.65 would make you think it is.
