Starting system: 

Multiply the top equation by
3 and the bottom equation by 2 : 

Add the terms in each column : 0x + 0y = 0 (an identity)
This means that the two equations make identical statements about "x" and
"y". Hence the two equations have identical graphs; any point on this
graph solves both equations in the system. This system has many solutions, and is called
DEPENDENT.
The solution in set notation : { (x,y)  4x + 6y = 8 }