The system of equations has only one solution, the correct option is B.
How many solutions the system has?
We have the system of equations:
y = (-1/3)*x + 7
y = -2x³ + 5x² + x - 2
To find the number of solutions, we can plot both equations in the same coordinate axis and then find how many intercepts we have between the two graphs, each intercept represents one solution.
In the graph we can see a single intercept, so there is only one solution