Answer
x=5; y=10
Work Step by Step
Multiplying the first equation by 5 and the second equation by 6/5 gives:
$2x+6y=70$
$\frac{72}{5}x-6y=12$
Adding two equations: $\frac{82}{5}x=82 \Rightarrow x=5$
Solve for y: $12(5)-5y=10 \Rightarrow y=10 $