SOLUTION: I need to know what n equals in 2/3(n-3)=8

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Question 33319This question is from textbook Elementary and Intermediate Algebra
: I need to know what n equals in 2/3(n-3)=8 This question is from textbook Elementary and Intermediate Algebra

Found 2 solutions by priya, sarah_adam:
Answer by priya(51) (Show Source):
You can put this solution on YOUR website!
do u mean 1. (2/3)(n-3) =8 or
2. 2/3(n-3) =8..

I'm giving u both solutions aneway..

for 1.
(2/3)(n-3) = 8
n - 3 = 8(3/2)
n-3 = 12
therefore n = 12 + 3
= 15.

for 2.

2/3 (n-3) = 8 (this means (n-3) is in the denominator with 3 )
2/3*8 = n-3 (by cross multiplying 8 and n-3)
simplifying we get,

1/12 = n-3
n= (1/12)+3
= 37/12
visit my site to learn online...
priya

Answer by sarah_adam(201) (Show Source):
You can put this solution on YOUR website!
2/3(n-3)=8
2/3n-9 = 8
2 = 8(3n - 9)
2 = 24n - 72
24n = 72+2 = 74
n = 74/24 = 37/12