Question 509684
(3/2)x+9=y
multiply equation by 2 the LCD
3x+18=2y
3x-2y=18................1
4y-6x=36................2
								
multiply (1)by 		-2						
Multiply (2) by		1						
-6	x		4	y	=	-36
4y=6x-36		
-6	x		4	y	=	36
4y=6x+36
you will observe that the slopes of the two equations are same (3/2)

and the intercepts are different ( +36 & -36)

so the lines are parallel.	
They have no solution.