How many solutions does this system of equations have? Exactly one

Infinitely many

Exactly two

None
Graph of a system of linear equations. Equation 1 is 3x plus 2y equals 6. Equation 2 is negative 4x plus 5y equals 15. The graphs intersect at a point.

exactly one

Step-by-step explanation:

The system of linear equations have:

one solution, infinitely many solutions or no solution.

One solution if the lines intersect.

Infinitely many solutions if the lines are the same (overlap)

There is no solution if the lines are parallel (they do not have a common point).

In the graph, two lines intersect. Therefore, the system of equations has one solution (0, 3).