SOLUTION: Can you please explain how the equation (2) has been derived from equation (1)? I know the answer is correct, but don't know how to get from one to the other. Equation 1: {{{1

Algebra ->  Expressions-with-variables -> SOLUTION: Can you please explain how the equation (2) has been derived from equation (1)? I know the answer is correct, but don't know how to get from one to the other. Equation 1: {{{1      Log On


   



Question 11443: Can you please explain how the equation (2) has been derived from equation (1)? I know the answer is correct, but don't know how to get from one to the other.
Equation 1: 1%2FR+=+1%2Fx+%2B+1%2Fy
Equation 2: R+=+x+%2A+y+%2F+%28x%2By%29+
Many thanks

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1%2FR+=+%28y%2Fy%29%281%2Fx%29+%2B+%28x%2Fx%29%281%2Fy%29 Add the fractions on the right. Common denominator is xy.
1%2FR+=+%28x%2By%29%2F%28xy%29 Invert both sides.
R+=+xy%2F%28x%2By%29