



 
Hi, The first observation is that a can't be zero and b can't be zero. Multiply both sides of x/a + y/b = a+b by ab and multiply both sides of x/a^{2 }+ y/b^{2} = 2 by a^{2} b^{2}. This will give you two equations which you can solve using the elimination method. When I did this I cancelled a factor of (a  b) and hence this procedure fails if a = b. At this point you need to go back to the original equations and rewrite them with a = b. The two equations then collapse to one equation and any choices of x and y that satisfy this equation gives additional solutions. Penny  


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