Question

Solve for r in terms of q, s, and t.
q=2ts + 2sr + 2rt
r =

Answer 1

`\sf(q-2ts)/(2(s+t)) =r`

Explanation:

q = 2ts + 2sr + 2rt

First, subtract 2ts from both sides.

q - 2ts = 2sr + 2rt

Now, take the common factor out.

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

Divide both sides by ( s + t ).

`\sf(q-2ts)/((s+t)) =2r`

Now divide both sides by 2 and make "r" the subject.

`\sf(q-2ts)/(2(s+t)) =r`