anonymous
  • anonymous
Could someone help me solve: x/x+5 - 4 = 5/x+5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
please put () in your question so I know how to answer it ((x/x)+5 or x/(x+5), for example?)
anonymous
  • anonymous
sorry, \[\frac{ x }{ x+5 } - 4 = \frac{ 5 }{ x+5 }\]
anonymous
  • anonymous
multiply -4 by (x+5)/(x+5) makes it -(4x+20)/(x+5), remove all x+5 from denominators, and you have x-4x-20=5

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anonymous
  • anonymous
then solve from there
anonymous
  • anonymous
does that make sense?
anonymous
  • anonymous
I don't understand why one would just remove all x+5 from the denominators, could you explain it?
anonymous
  • anonymous
if the denominator of every term in an equation is equal, one can simply cross them all out. this is the same as multiplying each term in the equation by the denominator- it effectively causes them to cease to exist and save you the trouble of having tons of fractions in your equation.
anonymous
  • anonymous
so you're really multiplying both sides of the equation by x+5, which gets rid of the denominators.
anonymous
  • anonymous
ok, I get it, thanks :)
anonymous
  • anonymous
np

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