Answer
$x = 7$, $y=5$
Work Step by Step
Given:
$x + y = 12$
$x - y = 2$
Add the equations together by adding the corresponding parts:
$x + y + (x - y) = 12 + (2)
\\2x=14$
Divide both sides by 2:
$x = 7$
Substitute $7$ into $x$ of the first equation:
$(7) + y = 12$
Subtract 7 to both sides:
$y = 5$
Thus, $x = 7$, $y=5$