How do I solve a sum of equations with unknowns in the denominator?

First, you need to make sure that each equation has a common denominator. You do this by multiplying the numerators of each equation with the denominators of the others. This allows you to form one algebraic fraction, and simplify the numerator and denominator to find common factors that can cancel each other out. This can completely cancel out the denominator, leaving you with one equation that you can easily solve now.