CPM Homework Help : PC Problem 6-126

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6-126.

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

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

Step 1:

Add the two equations.

Answer 1:

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

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

Step 2:

Solve for $x$ .

Answer 2:

$x = 3$

Step 3:

Solve for $y$ .

Answer 3:

$y = 6$

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