greenteakohai
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  • 24-03-2019
  • Mathematics
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What is the solution for this proportion?

What is the solution for this proportion class=

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altavistard
altavistard altavistard
  • 24-03-2019

Answer:

n = -3

Step-by-step explanation:

Cross multiply.  We get:

(n - 6)(3n + 1) = 3n(n - 5), or

3n² + n - 18n - 6 = 3n² - 15n

Simpify by combining like terms.  3n² on the left is the same as 3n² on the right, so we cancel these terms:

n - 18n - 6 = - 15n.

Continuing to combine like terms, we get:

-2n = 6, so that n = -3.

Note that there is no problem subbing -3 for n in the given proportion; both fractions will be defined.  Thus, n = -3 is the solution desired.

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