Question

How do you solve 6/b-1=9/7

Answer 1

(6/b)-1 = 9/7
6/b = (9/7)+1
6 = [(9/7)+1]*b

6/[(9/7)+1] = b

b = 21/9

Answer 2

`(6)/(b-1) =(9)/(7) \\ \\b-1\\eq 0\\ \\b\\eq 1\\ \\b \in R\setminus \left \{ 1 \right \}\\ \\9(b-1)=6*7\\ \\ 9b-9=42\\ \\9b=42+9\\ \\9b=51 \ \ /:9\\ \\b=(51)/(9)\\ \\b=5(6)/(9)\\ \\b=5(2)/(3)`