Answer
No solution
Work Step by Step
$6x+12y=5$
$-4x-8y=0$
$6x+12y=5$
$(6x+12y)/6=5/6$
$x+2y=5/6$
$-4x-8y=0$
$(-4x-8y)/-4=0/-4$
$x+2y=0$
$x+2y=5/6$
$x+2y=0$
These equations have the same left-hand side of the equation, but they have different right-hand sides of the equation. Since the right hand sides are different (with the same left hand sides), there is no solution for the system.