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July 28th, 2009, 03:24 PM   #1
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Solving Literal Equations and Absolute Value Equations:

I just started learning about literal equations today and i'm confused, could anyone tell me step by step how to solve literal equations and literal equations containing fractions?

Example: Solve 1/x = 1/y for x

Also, I'm working on Absolute Value Equations and the chart is a little confusing a step by step guide on it would be great too!

Example: Solve |3x+4|=13


I'm cramming for the GED and i think i'm about 2/3's of the way though any help you guys could give me would be great Thanks!
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July 28th, 2009, 04:21 PM   #2
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Re: Solving Literal Equations and Absolute Value Equations:

First example: Solve for .
, then . Also notice that both and cannot equal to zero.
Second example: Solve .
and and .
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July 29th, 2009, 09:17 AM   #3
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Re: Solving Literal Equations and Absolute Value Equations:

Ok i understand the second one but the first one still confuses me a little bit..
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July 29th, 2009, 09:51 AM   #4
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Re: Solving Literal Equations and Absolute Value Equations:

Quote:
Originally Posted by cafegurl
Ok i understand the second one but the first one still confuses me a little bit..
You have three ways you can solve this:
[1] You can multiply both sides by x and then by y.












[2] Solve it like a proportion.


(cross multiply)

[3] Think about it logically.
If the reciprocals of two numbers are equal then the two numbers have to be equal, right?
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August 1st, 2009, 09:29 PM   #5
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Only three ways, SidT? Another way to solve this one is to subtract both sides by 1/y, then we do some algebra and get (y - x) / xy on one side of the equation, and then multiply both sides by xy, and add by x to both sides and we get x = y, where both x and y cannot equal to zero!
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August 1st, 2009, 11:44 PM   #6
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Dividing 1 by each side of the equation gives x = y.
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August 3rd, 2009, 08:58 AM   #7
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Re: Solving Literal Equations and Absolute Value Equations:

Well, there's probably more, but those are the ones that came to my mind.
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