Answer
$\{(6,2)\}$
Work Step by Step
We are given the system of equations:
$\begin{cases}
x+y=8\\
x-y=4
\end{cases}$
Use the elimination method. Add the two equations to eliminate $y$ and determine $x$:
$x+y+x-y=8+4$
$2x=12$
$x=6$
Determine $y$:
$x+y=8$
$6+y=8$
$y=2$
The solution set of the system is:
$\{(6,2)\}$
