Question

Solve SA = πrs + π r2 for s

Answer 1

SA = πrs + π r^2

subtract π r^2 from each side

SA -π r^2 =πrs

divide each side by πr

(SA -π r^2)/πr = s

Answer 2

`s=(SA-\pi r^(2)  )/(\pi r )`

Explanation:

To solve this expression for S we are going to proceed the following way:

`SA=\pi rs+\pi r^(2) \\SA-\pi r^(2) =\pi rs\\(SA-\pi r^(2)  )/(\pi r ) =s`

Notice that first we had to took all the terms of the expression that didn't have s and we moved them to the right (with the opposite sign).

Once we had the term with s (πrs) on the left, we proceed to divide by πr to leave the s alone.