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artcher [175]
2 years ago
13

İn the system equations above, n is a constant. İf the system has no solution, what is the value of n

Mathematics
1 answer:
jarptica [38.1K]2 years ago
4 0

Answer:

  • n = - 6

Step-by-step explanation:

<u>Given is the system of linear equations:</u>

  • nx + 3y = 6
  • 12x - 6y = 0

<u>Convert both equations into slope intercept form:</u>

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

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

  • -1/3n = 2
  • n = - 6
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