shelbygreen022 shelbygreen022
  • 15-06-2018
  • Mathematics
contestada

solve the equation 1/2x+14 - 9/x+7= -6
a. x= -101/12
b. x= 101/12
c. x= -67/12
d. x= 67/12

Respuesta :

gmany
gmany gmany
  • 16-06-2018
[tex]\dfrac{1}{2x+14}-\dfrac{9}{x+7}=-6\ \ \ \ \ /D:x\neq-7/\\\\\dfrac{1}{2(x+7)}-\dfrac{9}{x+7}=-6\ \ \ \ |\cdot2\\\\\dfrac{1}{x+7}-\dfrac{18}{x+7}=-12\\\\\dfrac{1-18}{x+7}=-12\\\\\dfrac{-17}{x+7}=\dfrac{-12}{1}\ \ \ \ |cross\ multiply\\\\-12(x+7)=-17\cdot1\\\\-12x-84=-17\ \ \ |+84\\\\-12x=67\ \ \ |:(-12)\\\\x=-\dfrac{67}{12}[/tex]


[tex]\text{Answer:}\ c.\ x=-\dfrac{67}{12}[/tex]
Answer Link
drbugsy17 drbugsy17
  • 25-05-2020

Answer:

c

Step-by-step explanation:

Answer Link

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