athousandyears2006 athousandyears2006
  • 15-10-2020
  • Mathematics
contestada

Which value of n makes the equation 5/2 (4n-10)+4=2/3(6n-9) true?

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sqdancefan
sqdancefan sqdancefan
  • 15-10-2020

9514 1404 393

Answer:

  n = 5/2

Step-by-step explanation:

Given

  5/2(4n -10) +4 = 2/3(6n -9)

  5(2n -5) +4 = 2(2n -3) . . . . . . . simplify a bit

  10n -25 +4 = 4n -6 . . . . . . . . . eliminate parentheses

  6n = 15 . . . . . . . . . . . . . . . . . . . add 21-4n

  n = 15/6 = 5/2

The value of n that makes the equation true is n = 5/2 = 2.5.

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