jenalatorres
jenalatorres jenalatorres
  • 04-01-2020
  • Mathematics
contestada

x+6/x+2=x+3/x-5

a. x=1
b. x=5
c. x=-9
d. x=-8​

Respuesta :

WojtekR
WojtekR WojtekR
  • 04-01-2020

[tex]\dfrac{x+6}{x+2}=\dfrac{x+3}{x-5}\qquad\qquad\text{cross multiply}\\\\(x+6)(x-5)=(x+2)(x+3)\\\\x^2-5x+6x-30=x^2+3x+2x+6\\\\x^2+x-30=x^2+5x+6\\\\x^2+x-x^2-5x=6+30\\\\-4x=36\quad|:(-4)\\\\\boxed{x=-9}[/tex]

Answer C.

Answer Link

Otras preguntas

Find the greatest common factor of 21 and 49 .
This territory was annexed by the United States in 1898, five years after planters there overthrew the leader and requested the US to annex the territory.
What was the Incas' greatest achievement?
Which part in this excerpt from Theodore Dreiser’s “My Brother Paul” reflects Dreiser’s desire for acceptance?
what is the fourth message written on Kryptos
What is the main purpose of the Los Topos organization? a) to give time to help people b) to provide donations to help in a natural disaster c) to train to help
Which of the following is NOT a type of wellness? A. spiritual B. social C. spacial D. mental
Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.
When I (enter) the chalet all my friends (talk) about my mysterious loss: a) enter,were talking b) was entering,talk c) entered,talked d) entered,were talking
The jars of paint in the art room have different amounts of paint.the green paint jar is 4/8 full. The purple paint jar is 4/6 full. Which paint jar is less ful