Question

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

Answer 1

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

`c=(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:

`ch+f=a`

Now we can subtract `f` from both sides:

`ch +f -f = a -f`

which simplifies to

`ch = a-f`

Now we can divide both sides by `h`

`(ch)/h = (a-f)/h`

Which simplifies to

`c=(a-f)/h`