Question 538647
Does the system of equations have no solution, one solution, or infinitely many solutions? 
y = 5x – 4
y = 5x – 5 
.
Since slope (5) is the same for both but the y-intercepts are diffferent
we conclude that
there is "no solution"
.
See the site below, it describes the three cases:
http://www.mathwarehouse.com/algebra/linear_equation/systems-of-equation/index.php