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avatar+794 

What is the simplified numerical value of \(\frac{a+11b}{a-b}\) if \(\frac{4a+3b}{a-2b}=5\)?

 Jun 17, 2020
 #1
avatar+21957 
0

If  (4a + 3b) / (a - 2b)  =  5

then              4a + 3b  =  5(a - 2b)

                     4a + 3b  =  5a - 10b

                            13b  =  a

 

Therefore, substituting 13b for a:

       (a + 11b) / (a - b)  =  (13b + 11b) / (13b - b)  =  24b / 12b  =  2

 Jun 17, 2020
 #2
avatar+794 
-1

Thank you!

AnimalMaster  Jun 17, 2020

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