# How do you solve for z in the equation: T= \frac { z - q } { s } ?

Apr 10, 2018

$z = T s + q$

#### Explanation:

Isolate $z$:

$T = \frac{z - q}{s}$

$T s = z - q$

$z = T s + q$

Apr 11, 2018

$z = T s + q$

Here's how I did it:

#### Explanation:

$T = \frac{z - q}{s}$

To solve for $z$, we have to make $z$ by itself. To do so, we have to move everything to the other side of the equation.

First, let's multiply both sides by $s$:
$T \textcolor{red}{\cdot s} = \frac{z - q}{\cancel{s}} \cancel{\textcolor{red}{\cdot s}}$

$T s = z - q$

Now, add $q$ to both sides of the equation:
$T s \quad \textcolor{red}{+ \quad q} = z - q \quad \textcolor{red}{+ \quad q}$

$T s + q = z$

Therefore,
$z = T s + q$

Hope this helps!