#### Answer

Infinitely many solutions which indicates all real numbers

#### Work Step by Step

For the first equation $2x+3y=6$, the $x$ and $y$ intercepts are found as $(3,0)$ and $(0,2)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Similarly, for the second equation $4x=-6y+12$, the $x$ and $y$ intercepts are found as $(3,0)$ and $(0,2)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Now, graph each equation as a line passing through the intercepts. It is observed that the both lines coincides with each other. It indicates that the system has infinitely many solutions.
The graph is as below.