Answer:
Option: D is the correct answer.
D) Infinite solutions.
Explanation:
We are given a system of equations as:
y=3x+2--------(1)
and, 3y=9x+6----------(2)
on dividing both side of the equation (2) we obtain:
y=3x+2
Clearly we could observe that both the equations are same.
Hence, we will get a straight line passing through (-2/3,0) and (0,2) as a solution ( i.e. y=3x+2)
Hence, there are infinite points on the line which are solution to the system.
Hence, option: D is the correct answer.