SOLUTION: 10 + 14[n/11] = 24 This question is from a worksheet not the textbook

Algebra ->  Absolute-value -> SOLUTION: 10 + 14[n/11] = 24 This question is from a worksheet not the textbook      Log On


   

Question 199885: 10 + 14[n/11] = 24 This question is from a worksheet not the textbook
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
10%2B14%2Aabs%28n%2F11%29=24 Start with the given equation.


14%2Aabs%28n%2F11%29=24-10 Subtract 10 from both sides.


14%2Aabs%28n%2F11%29=14 Combine like terms.


abs%28n%2F11%29=14%2F14 Divide both sides by 14.


abs%28n%2F11%29=1 Reduce


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

n%2F11=-1 or n%2F11=1 Set the expression n%2F11 equal to the original value 1 and it's opposite -1




Lets focus on the first equation n%2F11=-1


n=-1%2A11 Multiply both sides by 11.


n=-11 Multiply.



Now lets focus on the second equation n%2F11=1


n=1%2A11 Multiply both sides by 11.


n=11 Multiply.


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Answer:


So the solutions are n=-11 or n=11