Final answer:
To determine the number of solutions to a system of equations, we need to solve the system and analyze the result. If the lines representing the equations are parallel, the system has no solutions. If the lines intersect at a single point, the system has one solution. If the lines coincide, the system has infinitely many solutions.
Step-by-step explanation:
The question asks about the solutions to a system of equations. To determine the number of solutions, we need to solve the system and analyze the result. If the system has no solutions, it is inconsistent and the lines representing the equations are parallel and do not intersect.
If the system has one solution, it is consistent, and the lines representing the equations intersect at a single point. If the system has infinitely many solutions, all the points on the lines representing the equations are solutions.
For example, let's consider two linear equations: y = -3x and y = 0.2 + 0.74x. Since the coefficients and constants in both equations are different, the lines they represent will intersect at a single point. So, this system has one solution.
Therefore, the answer is B. One solution.