Answer
(5,12)
Work Step by Step
After multiplying the equations so you are able to eliminate the Y-value you have:18x+y=102 and 21x+y=117.
Subtract the equations to be able to combine them:
18x+y=102
21x+y=117
-3x=-15 -divide both sides by -3-
x=5
Plug in x=5 into one of the equations:
9(5)+$\frac{1}{2}$y=51
45+$\frac{1}{2}$y=51
$\frac{1}{2}$y=6
y=12
You have one solution (5,12).