Respuesta :

Answer:

infinitely many

Step-by-step explanation:

there were too many lines

Answer:

The correct option is D) Infinitely many.

Step-by-step 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.