Answer
b = 39
Work Step by Step
$\frac{b + 3}{7}$ = $\frac{b - 3}{6}$
First, use the Cross Products Property.
6(b + 3) = 7(b - 3)
Use the Distributive Property on both sides of the equation.
6(b) + 6(3) = 7(b) - 7(3)
Simplify.
6b + 18 = 7b - 21
Subtract 6b from both sides of the equation.
6b + 18 - 6b = 7b - 21 - 6b
18 = 1b - 21
Add 21 to both sides of the equation.
18 + 21 = 1b - 21 + 21
39 = 1b
Divide both sides by 1.
$\frac{39}{1}$ = $\frac{1b}{1}$
39 = b
