What does it mean to “Solve for x” or “Solve the Equation”?

Algebra

Probably half of all of the directions in any algebra book say something along the lines of “solve the following for x”. We go through the steps we see in the examples and then move on right? But what are you really being asked to do?

Solve for x means find the value of x that would make the equation you see true.

Think about this equation:  x + 1 = 3. If you were asked to solve it, that would mean finding some value for x that gives you three when you add one to it. Something plus one is three – what is the something? Well it must be two right? Since 2 + 1 = 3, x = 2. That’s it. That’s what solving an equation is all about!

This works no matter how complicated the equation gets. The only difference is that with a simple equation like this, it was possible to just think about it and get the answer. The more complicated the equation gets, well, there will be some more work involved. Either way – the idea is the same: Find the x that makes it true.

By the way, this is one of the great things about algebra – you can ALWAYS check your answers!

 

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2 Comments:

  1. MathBootcamps Blog » What does it mean to “Solve for x” or “Solve … | Solve Math & Science Problems - Solveable.com @ 2011-06-01 09:50

    [...] plus one &#1110&#1109 three – wh&#1072t &#1110&#1109 th&#1077 something? Read more here: MathBootcamps Blog » Wh&#1072t &#1281&#959&#1077&#1109 &#1110t mean t&#959 “Decipher f&#959r x”… #dd_ajax_float{ background:none repeat scroll 0 0 #eaeae3; border:1px solid #eaeae3; float:left; [...]

  2. MathBootcamps Blog » How to Solve Linear Equations @ 2011-06-15 05:12

    [...] Let’s say that you have the equation and you are asked to “solve for x”. Before you do anything – ask yourself “what does it mean to solve an equation anyway?”. [...]

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