anonymous
  • anonymous
2x +5/10x + 3 = 1/3 solve for x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
2x +5/10x + 3 = 1/3 25/10x+3=1/3 25/10x=-8/3 x=-16/15
anonymous
  • anonymous
where did 25 come from
anonymous
  • anonymous
majic

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anonymous
  • anonymous
I made 2x into a fraction and found a common denominator to combine 2/1+5/10
anonymous
  • anonymous
i dont know im sorry
anonymous
  • anonymous
polpak could you help me with my question by chance?
anonymous
  • anonymous
\[2x = \frac{2x*10x}{10x} = \frac{20x^2}{10x}\]
anonymous
  • anonymous
let me take a moment to look it...take it in lol
anonymous
  • anonymous
np, I was just correcting mm
anonymous
  • anonymous
Just multiply both sides by 10x with the requirement that x cannot be 0
anonymous
  • anonymous
polpak, do you mind showing me step by step
anonymous
  • anonymous
Well I told you the first step.. what do you have when you multiply both sides by 10x?
anonymous
  • anonymous
sorry...interrupted
anonymous
  • anonymous
(2x+5)/3 = 10x/3
anonymous
  • anonymous
where did the /3 on the left come from??
anonymous
  • anonymous
wait.. is the original equation \[\frac{2x + 5}{10x + 3} = \frac{1}{3}\]
anonymous
  • anonymous
yeah
anonymous
  • anonymous
you need to use parens better when describing the problem ;p
anonymous
  • anonymous
ok, so multiply both sides by 10x + 3 (with the stipulation that x cannot be -3/10)
anonymous
  • anonymous
so far i have 2x + 4 = 10x/3...on the right track?
anonymous
  • anonymous
no. you should have 2x + 5 = (10x + 3)/3
anonymous
  • anonymous
i skipped to the next step...where 3/3 = 1 and then subtracted from other side...does x=1
anonymous
  • anonymous
You can't do that
anonymous
  • anonymous
Oh, I see
anonymous
  • anonymous
Err wait. What did you do? x=1 isn't right
anonymous
  • anonymous
4/5?
anonymous
  • anonymous
no
anonymous
  • anonymous
Show your work so I can figure out what you're doing
anonymous
  • anonymous
so 2x + 5 = 10x +1 is that correct and i can go from there
anonymous
  • anonymous
No
anonymous
  • anonymous
You have to divide the whole 10x + 3 by 3, you can't just divide the 3 on top and leave the 10x alone. I suggest instead multiplying both sides by 3 to get rid of the fraction
anonymous
  • anonymous
i know what i did...just noticed that...i started over with a clean piece of paper
anonymous
  • anonymous
so 6x + 15 = 30x + 9
anonymous
  • anonymous
no
anonymous
  • anonymous
you forgot that the part on the right was divided by 3, so multiplying by 3 just cancels the denominator on the right side
anonymous
  • anonymous
i left my brain behind...sorry
anonymous
  • anonymous
np, it happens =)
anonymous
  • anonymous
give me one minute..going to reason through...what bothers me the most...is that this looks simple and i feel like i can solve more difficult problems more easily
anonymous
  • anonymous
\[3(2x + 5) = \frac{3(10x + 3)}{3}\]
anonymous
  • anonymous
you should have that written on your paper
anonymous
  • anonymous
so which 3's should cancel eachother out?
anonymous
  • anonymous
\[\frac{3(10x + 3)}{3} = \frac{3}{3}(10x + 3) = 1(10x + 3) = 10x + 3\]
anonymous
  • anonymous
ok...that was my problem....i wanted to cancel out the wrong 3...noted
anonymous
  • anonymous
x = 3
anonymous
  • anonymous
indeed
anonymous
  • anonymous
finally lol....sorry this has been a chore...thanks for your help and patience
anonymous
  • anonymous
np, just be sure to go back over the process and make sure you understand not only what we did, but why what you were doing doesn't work
anonymous
  • anonymous
definitely will...starred it on my sheet as "needs more attention" lol
anonymous
  • anonymous
good job =)
anonymous
  • anonymous
thanks :)

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