## College Algebra (11th Edition)

$\frac{1}{x}+\frac{1}{y}=\frac{1}{x+y}$
Suppose x = 2 and y = 3. $\frac{1}{x}+\frac{1}{y}+\frac{1}{2}+\frac{1}{3}=\frac{3+2}{6}=\frac{5}{6}$ $\frac{1}{x+y}=\frac{1}{2+3}=\frac{1}{5}$ Thus, $\frac{1}{x}+\frac{1}{y}=\frac{1}{x+y}$.