Question 460070
y = -3x + 4.................1
6y + 18x = 24
6y=-18x+24
/6
y=-3x+4......................2

Both the lines are having same slope -3 and same y intercept +4
so the lines coincide. ( they are one and the same lines)


when x=	0	y=	4	(0,4)
when y =	0	x=	1.33(1.33,0)

{{{drawing(300,300,-10,10,-10,10,circle(0,4,0.3),circle(13/10,0,0.3),graph(300,300,-10,10,-10,10,y=-3x+4))}}}	
All the points on the line are the solutions to both the equations. So, the system of equations has infinite number of solutions. 			
So, the system of equations is consistent and the equations are dependent.