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:

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

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