Answer
X=72
Y=116
Work Step by Step
We see that:
$$ x+y-8 =180$$
And:
$$ x=.5y+14$$
Thus, plugging the second expression into the first expression:
$$ .5y+14+y-8 = 180 \\ 1.5y=174 \\ y=116$$
Thus, it follows:
$$ x=(.5)(116) +14 \\ x = 72$$