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What is the correct answer to the problem 6-2x/x-3?

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2 Answers

(6- 2X) / ( X- 3) =
 
Factor the numerator:
 
2 ( 3 - X) / ( X -3) :
 
Facor  -1 from numerator
 
-2 (-3 + X ) / ( X -3 ) = -2
 
Cross out ( divide both numerator and denominator by ( X -3 ) 
 
   Answer is -2.
 
 
    
 
(6-2x)/(x-3)
2(3-x)/(x-3)
multiply the numerator by 1 written as (-1)(-1)
(-1)(2)(-1)(3-x)/(x-3)
(-2)(x-3)/(x-3)
cancel the (x-3) in the numerator and the (x-3) in the denominator
the answer is -2
 
another way to look at this...
 
2(3-x)/(x-3)
multiply top and bottom both by (-1)
(-1)(2)(3-x)/(-1)(x-3)
(-2)(3-x)/(3-x)
same reasoning as before
answer is -2

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