# How do you solve for V in 1/T - 1/V = 6?

Apr 28, 2016

 color(blue)(V= T / (1 - 6T)

#### Explanation:

$\frac{1}{T} - \frac{1}{V} = 6$

$\frac{1}{T} - 6 = \frac{1}{V}$

$\frac{1}{T} - \frac{6 T}{T} = \frac{1}{V}$

$\frac{1 - 6 T}{T} = \frac{1}{V}$

$\frac{V}{1} = \frac{T}{1 - 6 T}$

 color(blue)(V= T / (1 - 6T)