zaidijoshua6
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  • 02-09-2017
  • Mathematics
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Solve 3/x+2 - 1/x = 1/5x. Show your work.

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rghgbhfg rghgbhfg
  • 02-09-2017
( 3x - x -2) / x (x + 2) = 1/5x (2x - 2) / x(x +2) = 1/5x 2x - 2 = (x + 2) / 5 10x - 10 = x + 2  9x = 12 x = 12/9 x = 4/3
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Аноним Аноним
  • 02-09-2017
[tex] \frac{3}{x+2} - \frac{1}{x} = \frac{1}{5x} [/tex]

[tex] \frac{(3*x)-(1*(x+2))}{(x+2)*x} = \frac{1}{5x} [/tex]

[tex](3x - x - 2 )5 = \frac{x(x+2)}{x} [/tex]

[tex](2x-2)5 = x+2[/tex]

[tex]10x - 10 = x + 2[/tex]

[tex]10x - x = 2 + 10[/tex]

[tex]9x = 12[/tex]

[tex]x = \frac{12}{9} = \frac{4}{3} [/tex]  = 1.3333333333333 ≈ 1.3
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