Question

Ben says this system of equations has one solution. Is he​ correct? Explain. Choose the correct answer below. A. Ben is correct. Since the equations have the same​ slope, the system has exactly one solution. B. Ben is correct. Since the equations have the same slope and different​ y-intercepts, the system has exactly one solution. C. Ben is incorrect. Since the equations have the same slope and different​ y-intercepts, the system has no solution. D. Ben is incorrect. Since the equations have the same​ slope, the system has infinitely many solutions.

Answer 1

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution

Explanation:

From the given options the parameters of the equations are;

The slope of the equations are the same

The y-intercept of the equations are different

Therefore, the lines of the two equations ae parallel and there are no points of intersection of the two equations and therefore no solutions

The best correct option is therefore option C.;

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution.