What is the simplified numerical value of a+11ba−b if 4a+3ba−2b=5?
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
Thank you!