#### Answer

no solution; empty set

#### Work Step by Step

3x=6y
$\frac{3x}{3}$=$\frac{6y}{3}$
x=2y
Plug this value for x into the other equation
3x-6y=7
3(2y)-6y=7
6y-6y=7
0$\ne$7
This statement is not true therefore there is no solution and the solution set is empty.