# Simple Linear equations

• Sep 22nd 2011, 09:02 AM
prasanna892892
Simple Linear equations
Hello I am having difficulties in solving this simple equation can someone help me please?
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these are the steps I took: (the solution should be -1=0 ,false)
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Thank's a lot (Wink)
• Sep 22nd 2011, 09:50 AM
steinmath
Re: Simple Linear equations
There are multiple ways of thinking about this, but I'll do it in the way, given your solution, that it was "intended to be done".

You can factor out an x in the numerator of the fraction. So we have

$\displaystyle (x-1) - \frac{x(x-1)}{x-1} = 0$

Then you can cancel to get

$\displaystyle (x-1)-x=0$

which implies

$\displaystyle -1=0$
Thus we have a contradiction, and there are no solutions.
• Sep 22nd 2011, 10:19 AM
prasanna892892
Re: Simple Linear equations
thanks a lot for your answer so precise and fast, I often make careless mistakes ^^
$\displaystyle \frac{(x-1)^2-x^2+x}{x-1}$ = 0