anonymous
  • anonymous
Solve the equation: 2/5 - 3/x = 1/(5x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ 2 }{ 5 } - \frac{ 3 }{ x } = \frac{ 1 }{ 5x }\] what's the LCD?
anonymous
  • anonymous
I don't know
anonymous
  • anonymous
\[\frac{ 2 }{ 3 } +\frac{ 7 }{ x } + \frac{ 32 }{ 6x }\] the LCD would be 6x for all the denominators can multiply into 6x 3 * 2x | x * 6 | 6x * 1 |

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anonymous
  • anonymous
what ever you multiply the denominator by you HAVE to multiply the same number to the numerator.
anonymous
  • anonymous
x=8 ?
anonymous
  • anonymous
let's go back to the original equation and look at that in the denominator what is the highest number they can all equal? 5, x, and 5x
anonymous
  • anonymous
lowest number*
anonymous
  • anonymous
1?
anonymous
  • anonymous
touche -.-" lol i meant without dividing 5, x and 5x can ALL equal 5x
anonymous
  • anonymous
I have no idea ;'(
jim_thompson5910
  • jim_thompson5910
2/5 is equivalent to (2x)/(5x) if you multiply top and bottom by x -3/x is equivalent to 15/(5x) if you multiply top and bottom by 5 Notice how they now have the same denominator of 5x This means 2/5 - 3/x = 1/(5x) is the same as (2x)/(5x) - 15/(5x) = 1/(5x) which allows you to combine the two fractions on the left side to get (2x - 15)/(5x) = 1/(5x) What's next?
jim_thompson5910
  • jim_thompson5910
any ideas?
anonymous
  • anonymous
aaahhhhhh
jim_thompson5910
  • jim_thompson5910
yes? no?
jim_thompson5910
  • jim_thompson5910
If two fractions are equal, and their denominators are equal, then the numerators must be equal
jim_thompson5910
  • jim_thompson5910
so this means that if (2x - 15)/(5x) = 1/(5x) then 2x-15 = 1
jim_thompson5910
  • jim_thompson5910
if 2x - 15 = 1, then x = ???
anonymous
  • anonymous
8?
jim_thompson5910
  • jim_thompson5910
you got it
anonymous
  • anonymous
Thank youu
jim_thompson5910
  • jim_thompson5910
yw

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