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(a-3b)/(a+2b) = (4)/(3)

what is the value of a:b??

User Efotinis
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1 Answer

8 votes

Given:


\sf (a\ -\ 3b)/(a\ +\ 2b)\ =\ (4)/(3)

To find: The value of a:b.

Answer:


\sf (a\ -\ 3b)/(a\ +\ 2b)\ =\ (4)/(3)

Cross-multilpying,


\sf 3\ *\ (a\ -\ 3b)\ =\ 4\ *\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b

Bringing the like terms together,


\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\(-a)/(b)\ =\ 17\\\\\\(a)/(b)\ =\ -17

Therefore, a:b = -17.

User DLight
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