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

Why did children make fun of Wanda
4- 3- 2- PE -3 + 4 -2 -1 1 2 3 -1 -2+ -3 -4 What is the slope of the line?
In Europe, gas cost approximately €0.98 per liter. How many dollars($) per gallon is this? ​ using a factor method
Choose the correct case of the pronoun for the sentence below.Shondra and ____ are going out for pizza after the game.Ime
Choose the expression equivalent to 6x+8+2x+15
46 is what percent of 141
What number is written as 6.0 x 106 in scientific notation
1. A long walk to water. In addition to providing clean water and schooling opportunities, how else will the well benefit the community?
Product design and choice of location are examples of _______ decisions. A. strategic B. tactical C. operational D. customer-focused E. design
Regroup to express the number in a different way. \begin{aligned} 73{,}250= &7\text{ ten thousands} +3 \text{ thousands} +2 \text{ hundreds} +5\text{ tens}