linglee92 linglee92
  • 17-08-2020
  • Mathematics
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Which of the following is the solution to 13/(x+2) = 8/(x-1)?

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Itzisabella
Itzisabella Itzisabella
  • 17-08-2020

[tex] \frac{13}{(x + 2)} = \frac{8}{(x - 1)} [/tex]

By cross - multiplication

[tex] \implies13 \times (x - 1) = 8 \times (x + 2)[/tex]

[tex] \implies13x - 13 = 8x + 16[/tex]

[tex] \implies13x - 8x = 16 + 13[/tex]

[tex] \implies5x = 29[/tex]

[tex] \implies \: x = \frac{29}{5} [/tex]

[tex] \implies \: x = 5.8[/tex]

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