Four friends analyzed the system of equations 6y=(2/3) x+5 and 6y−(1/2)x=5. Remy, Viola, Burke, and Florence each reached a different conclusion about the system of equations. Which friend analyzed the system correctly and drew the correct conclusion?

A) Viola noticed that each equation has the same slope but a different y-intercept, so she concluded that the system has no solution.

B) Remy noticed that there are two equations and two unknowns, and that each equation has a different slope, so she concluded that the system probably has at least one solution.

C) Burke noticed that each equation has the same slope and same y-intercept, so she concluded that there must be infinitely many solutions.

D) Florence noticed that the system has the same number of unknowns and equations, so she concluded that the system must have at least one solution.