Answer
x=5; y=21
Work Step by Step
Multiplying the first equation by 1/2 and the second equation by -1/3 gives:
$\frac{3}{4}x-\frac{1}{6}y=\frac{1}{4}$
$\frac{-2}{3}x+\frac{1}{6}y=\frac{1}{6}$
Adding two equations: $\frac{1}{12}x=\frac{5}{12} \Rightarrow x=5$
Solve for y: $2(5)-\frac{1}{2}y=\frac{-1}{2} \Rightarrow y=21 $