Solve the equation for the indicated variable.

Question

1. (f-3)/d=r+2, for d

 

2. (q/r)-6=q, for r 

Answer 1

 (f-3)/d = r + 2       for d

 

multiply both sides by d

 

                (f-3) = d (r + 2)

 

Divide both sides by (r + 2)

 

   (f-3) / (r + 2) = d

----------------------------------------

 

       (q/r) - 6 = q      for r

 

add 6 to both sides of equation

 

            (q/r) = q + 6

 

Multiply both sides by r

 

          r(q/r) = r (q + 6)

 

                q = r (q + 6)

 

Divide both sides by (q + 6)

 

 q/ (q + 6) = r