SOLUTION: please help me this is the problem x/(x-2)+3=2/(x-2)
*ive tried subtracing x/(x-2) and the cross multiply but it didnt worl plz help!!!
Algebra.Com
Question 332878: please help me this is the problem x/(x-2)+3=2/(x-2)
*ive tried subtracing x/(x-2) and the cross multiply but it didnt worl plz help!!!
Found 2 solutions by benazir.sj@gmail.com, solver91311:
Answer by benazir.sj@gmail.com(109) (Show Source): You can put this solution on YOUR website!
x/(x-2)+3=2/(x-2)
solution:
x/(x-2) +3- x/(x-2) =2/(x-2) - x/(x-2)
=> 3 =2/(x-2) -x/(x-2)
=>3 = 2-x/(x-2)
3(x-2) =2-x
3x-6 =2-x
3x+x=2+6
4x=8
x=8/4
x=2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You need to apply the LCD. There is only one denominator that you can see, but there are actually two denominators in this problem.
Since 
and 
have no factors in common, the LCD is \ \cdot\ 1\ =\ x\ -\ 2)
Apply the LCD:
\left(\frac{x\ -\ 2}{x\ -\ 2}\right) =\ \frac{2}{x\ -\ 2})
Simplify:
Two fractions with identical denominators must have equal numerators.
Oh oh! Warning!! Danger, Will Robinson! You have a single potential solution that is not in the domain of the original rational function. If 
, then you have a zero denominator. Therefore the solution set is the empty set.
John
My calculator said it, I believe it, that settles it
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