Answer
Ordered Pair Solution $(\frac{1}{3},\frac{1}{2})$
Work Step by Step
We have $$1)\frac{1}{x}+\frac{1}{y}=5$$ $$2)\frac{1}{x}-\frac{1}{y}=1$$
(1)+(2) $$\frac{2}{x}=6$$ $$x=\frac{1}{3}$$
Solving for $y$ $$\frac{1}{y} = 5-1\div\frac{1}{3}$$ $$y=\frac{1}{2}$$
Ordered Pair Solution $(\frac{1}{3},\frac{1}{2})$