Sunday, August 28, 2011

How do I solve this problem? 6-|3-y|=1I'm 12 so simple answers would be good. I'm in algebra 1.

6-|3-y|=1


Let's look at it with some simple answers.  The absolute value part of it is what's giving you trouble, I'm sure, so put you finger over that part of it and look at the question this way:


Six minus what equals one?


 When you do that, it's easy to see that |3-y| is 5!


Here's the tricky part.  The easy way to remember what absolute value means is "the distance from zero on the number line." So if something has an absolute value of 5, it's five away from zero, which means it's either 5 or -5.


So there will usually be two answers to an absolute value problem.  In this case, 3-y can be either 5 or -5.  So if you solve these two equations:


3-y = 5


3-y = -5


You'll have the answer!

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