Answer:
The correct option is D) Infinitely many.
Explanation:
Consider the provided graph.
The system of equation has the solution at the point where the line intersects.
Now consider the graph of the equation 2x = 2y-6 and y = x+3
By observing the graph it can be concluded that the graph of 2x = 2y-6 and y = x+3 has the same line.
A system of equation have infinitely many solutions if each equations refers to the same line.
Since 2x = 2y-6 and y = x+3 refer the same line. The system has infinitely many solutions.
Hence, the correct option is D) Infinitely many.