latajahholmes03 latajahholmes03
  • 17-06-2020
  • Mathematics
contestada

determine the solution, if any *Check.for extraneous solutions 3/x+2 = 4/3x-5​

determine the solution if any Checkfor extraneous solutions 3x2 43x5 class=

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TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 17-06-2020

The value of X is 4.6

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Hi1315
Hi1315 Hi1315
  • 17-06-2020

Answer:

[tex]x = 4 \frac{3}{5} \\ [/tex]

Step-by-step explanation:

[tex] \frac{3}{x + 2} = \frac{4}{3x - 5} \\ [/tex]

Use cross multiply

[tex]3(3x - 5) = 4(x + 2) \\ 9x - 15 = 4x + 8 \\ 9x - 4x = 15 + 8 \\ 5x = 23 \\ \frac{5x}{5} = \frac{23}{5} \\ x = 4 \frac{3}{5} [/tex]

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