Respuesta :

mhanifa

Answer:

  • n = - 6

Step-by-step explanation:

Given is the system of linear equations:

  • nx + 3y = 6
  • 12x - 6y = 0

Convert both equations into slope intercept form:

  • nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
  • 12x - 6y = 0 ⇒ 6y = 12x ⇒ y = 2x

The system has no solution if lines have equal slopes with different y-intercepts:

  • -1/3n = 2
  • n = - 6