Which statement about this system of equations is true? y=2/3x y=2/3x+3

1. The system has no solution.

2. The system has a unique solution at (0,0).

3. The system has a unique solution at (0,3).

4. The system has infinitely many solutions.

1. The system has no solution

Step-by-step explanation:

No solution can only be possible when two lines are parallel to one another, thus never intersect and hence have no solution. In order to identify a two parallel lines, the slope of each must be equal to one another. Let's take a look at our equations:

y=2/3x,

y=2/3x+3

Here 2/3 acts as the slope provided it is a "coefficient" of x. This means that the system has no solution provided the similar slopes.