To rent a certain meeting room, a collage charges a reservation fee of 49 dollars and an additional fee of 5 dollars and 40 cent
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I have attached a graph of such a system. The two lines have the same slopes but different y-intercepts, this means the lines are parallel, and therefore the system of equations that they represent has no solutions because the lines never intersect.
Going into your next question, there are three ways the system of equations can be classified: <em>the ones that have a solution, with infinitely many solutions, with no solutions.</em>
The graphs of the system of equations that have a solution intersect exactly at one point.
The graphs of the system of equations that have infinitely many solutions are mapped onto each other (are on top of each-other), and therefore have infinite points of intersection.
The graphs of the system of equations that have no solutions never intersect; these are represented by lines that are parallel.
<u>Hope this helps!</u>
