### Home > PC > Chapter 6 > Lesson 6.3.2 > Problem6-126

6-126.

Solve the system of equations at right for $x$ and $y$.

$\left. \begin{array} { l } { \frac { 1 } { x } + \frac { 1 } { y } = \frac { 1 } { 2 } } \\ { \frac { 1 } { x } - \frac { 1 } { y } = \frac { 1 } { 6 } } \end{array} \right.$

$\frac{2}{x}=\frac{3}{6}+\frac{1}{6}$

$\frac{2}{x}=\frac{4}{6}$

Solve for $x$.

$x = 3$

Solve for $y$.

$y = 6$