Final answer:
The given system of equations has 1 solution.
Step-by-step explanation:
The given system of equations is:
y = 2x + 5
y = x³ + 4x² + x + 2
To find the number of solutions, we need to determine if the graphs of these equations intersect at any point.
By observing the equations, we can see that the second equation is a cubic equation, which means it has the potential to have 3 solutions. However, the first equation is a linear equation and only has one solution.
Therefore, the system of equations has 1 solution (option B) because the equations intersect at a single point.