# How do you solve 6/(b-1)=9/7?

Aug 23, 2017

B = $\frac{17}{3}$

#### Explanation:

$\frac{6}{b - 1}$ = $\frac{9}{7}$
All we have to do is cross multiply
(6)(7) = 9(b - 1)
42 = 9b - 9
Change them side
9b - 9 = 42
9b = 42 + 9
9b = 51
Divide both sides by 9
$\frac{9 b}{9}$ = $\frac{51}{9}$
b = $\frac{17}{3}$
But if they want the answer in decimal, it is b =5.57