Final answer:
The given pair of linear equations has no solution. The correct answer is (a) No solution.
Step-by-step explanation:
Given the pair of linear equations 5x-8y=1 and 0, we can determine the number of solutions by comparing the slopes of the two lines. If the slopes are equal and the y-intercepts are different, the system has no solution. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are different, the system has a unique solution.
The question asks about determining the type of solution set for the system of linear equations 5x - 8y = 1 and 0. It seems like there might be a typo because the second equation has no variables or equals sign, making it incomplete.
Thus, it's impossible to determine if the system has no solution, a unique solution, or infinitely many solutions. Proper linear equations have the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, comparing the equations, we can see that the slopes are equal (both equations have 5 as the coefficient of x) and the y-intercepts are different, so the system has no solution.