# How do you solve for t in s= (t + 7) / (t + 5)?

Feb 14, 2016

You must first send the denominator of the fraction into multiplication.

#### Explanation:

$s = \frac{t + 7}{t + 5}$

$s \left(t + 5\right) = t + 7$

$s t + 5 s - t - 7 = 0$

$s t - t = 5 s + 7$

$t \left(s - 1\right) = 5 s + 7$

$t = \frac{5 s + 7}{s - 1}$