#### Answer

no solution; empty set

#### Work Step by Step

y=2-3x
Plug this value for y into the other equation.
6x+2y=7
6x+2(2-3x)=7
6x+2(2)-2(3x)=7
6x+4-6x=7
4=7
4$\ne$7
Since this statement is false, the solution set must be empty and there is no solution.