Respuesta :
Answer: y=(3x+1)/(x-2)
Step-by-step explanation: Step by step with principles included in the image.

Answer:
[tex]y = \frac{3x + 1}{x - 2} [/tex]
Step-by-step explanation:
Add -2y to both sides:
xy−3x+−2y=2y+1+−2y
Simplify:
xy−3x−2y=1
Add 3x to both sides:
xy−3x−2y+3x=1+3x
Simplify:
xy−2y=3x+1
Factor out variable y:
y(x−2)=3x+1
Divide both sides by x-2:
[tex] \frac{y(x - 2)}{x - 2} = \frac{3x + 1}{x - 2} [/tex]
Simplify:
[tex]y = \frac{3x + 1}{x - 2} [/tex]
Hope this helps :)