# How do you solve for h in a= ch + f ?

Jun 22, 2016

We work to isolate the variable we want by doing the same operation to both sides of our equation arriving at

$c = \frac{a - f}{h}$

#### Explanation:

We work to isolate the variable we want by doing the same operation to both sides of our equation. In this case, we can also start by writing the equation in a different order, writing the right-hand-side first, which doesn't change the equality:

$c h + f = a$

Now we can subtract $f$ from both sides:

$c h + f - f = a - f$

which simplifies to

$c h = a - f$

Now we can divide both sides by $h$

$\frac{c h}{h} = \frac{a - f}{h}$

Which simplifies to

$c = \frac{a - f}{h}$