SOLUTION: Hello! My college professor told me the answer to this problem. The answer is: x + y/ x - y. I do not know how to work the problem, and I need to know! The problem is 1/x + 1/y/ 1

Question 35538: Hello! My college professor told me the answer to this problem. The answer is:
x + y/ x - y. I do not know how to work the problem, and I need to know! The problem is 1/x + 1/y/ 1/y - 1/x. Please simplify the expression, and show all work. Thank you very much for the help!
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
Bare with me and I will try to explain;

When you add or subtract fractions you need LCD;
so we will start with the numerator;

multiply the first side by y; and the second by x;
;

now you have common denominators so you can add;
; now do the same thing with the denominator;
1/y -1/x
multiply the first side by x and the second by y;
-;

subtract;

Now lets but the equation back together;

Now, when you divide fractions the second term is inversed(reciprocal), and you mulitply;
*
Now cross cancel;

Hope you were able to bare with me and understand
=)
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