JayJay1004
JayJay1004 JayJay1004
  • 21-12-2017
  • Mathematics
contestada

What is the value of x?

x+5     x+1
----- = ------
x          x-2

Respuesta :

AnimeBrainly
AnimeBrainly AnimeBrainly
  • 21-12-2017
(x+5)/x = (x+1)/(x-2)

(x+5)(x-2) = x(x+1)
x^2 + 3x - 10 = x^2 + 1

x^2 (-x^2) + 3x - 10 (+10) = x^2 (-x^2) + 1 (+10)
3x = 11
3x/3 = 11/3

x = 11/3

hope this helps
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SvetlanaM
SvetlanaM SvetlanaM
  • 21-12-2017
[tex] \frac{x+5}{x}= \frac{x+1}{x-2} \\ \\ (x+5)(x-2)=x(x+1) \\ x^{2} -2x+5x-10= x^{2} +x \\ 5x-2x-x=10 \\ 2x=10 \\ x= \frac{10}{2} \\ x=5 \\ [/tex]
Answer: 5.
Answer Link

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