Solve q=r/2(s+t) for t

Answer 1

So, since you're solving for t, we first need to isolate it. We'll start outside the parentheses and work our way in to t:

q=r/2(s+t)

First, multiply both sides by 2. This gets rid of the fraction.

q = (r * 2) / 2 2(s + t)

simplify it

q = 2r(s + t)

Now, divide both sides by 2r. This will leave the expression (s + t) on its own.

(q/2r) = 2r(s + t) / 2r

Now q/2r is equal to s+t. We would use the same tactics to isolate t, so our next step is to subtract s from both sides of the equation.

(q/2r) - s = t + s - s

simplify that, and t is finally isolated.

(q/2r) - s = t

And since both sides of the equations are still equal, we know have our answer:

t = q/2r - s