Algebra: distance from a fixed point

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SUMMARY

The forum discussion centers on a mathematical problem regarding the distance from a fixed point, specifically point O. The user presents the equation +(2a-b)-(3a+2b) and concludes that the answer should be -a-3b. However, they express confusion over a textbook's answer of a+b, suggesting it may be a typographical error. The consensus among participants supports the user's calculation, reinforcing the likelihood of an error in the textbook.

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drooble122
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Homework Statement
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Basic algebra
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The first image is the question and the second is the answer.
My thinking is let's say North is positive, and South is negative. Fixed point O is the starting point. Then the question becomes +(2a-b)-(3a+2b). The answer should be -a-3b. I cannot fathom why the book gives the answer as a+b. Any help would be appreciated. Thank you.
 
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I'd say you were correct. What book are you using?
 
It's probably a typo and they meant to say 2a+b miles north.
 
Office_Shredder said:
It's probably a typo and they meant to say 2a+b miles north.
Exactly.
 

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