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July 28th, 2009, 03:24 PM  #1 
Member Joined: Sep 2008 Posts: 97 Thanks: 0  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! 
July 28th, 2009, 04:21 PM  #2 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0  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 . 
July 29th, 2009, 09:17 AM  #3 
Member Joined: Sep 2008 Posts: 97 Thanks: 0  Re: Solving Literal Equations and Absolute Value Equations:
Ok i understand the second one but the first one still confuses me a little bit..

July 29th, 2009, 09:51 AM  #4  
Senior Member Joined: May 2008 From: Sacramento, California Posts: 299 Thanks: 0  Re: Solving Literal Equations and Absolute Value Equations: Quote:
[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?  
August 1st, 2009, 09:29 PM  #5 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
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!

August 1st, 2009, 11:44 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,099 Thanks: 1905 
Dividing 1 by each side of the equation gives x = y.

August 3rd, 2009, 08:58 AM  #7 
Senior Member Joined: May 2008 From: Sacramento, California Posts: 299 Thanks: 0  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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