Asystem of equations is graphed on the coordinate plane.

2y=3x−1
4y=6x−2

select the number of solutions for the system of equations from the drop-down menu.
a. no solution
b. one solution
c. infinitely many solutions

You have 2y=3x-1 and 4y=6x-2. first step is to get the y by itself . first equation you divide everything by 2 which gives you the equation: y= 3/2x-1/2
or y= 1.5x-.5, for the second equation you divide everything by 4, which gives you y=6/4x-2/4 (1/2) or y=1.5-.5. both equations are equal to one another: 
the answer is therefore C Infinitely many solutions.