SOLUTION: how can you interpret the solution of a system of equations by the corresponding graph?

Question 37221: how can you interpret the solution of a system of equations by the corresponding graph?

Answer by jcmtnez(53) (Show Source): You can put this solution on YOUR website!
You can see the solution of the system when both equation have a common point in the graph. If they do not have a common point, I mean that if they are parallel, then the system do not have any solution. If both graph of the equations are the same then the system have infinite solution.
A system with one solution:

You can see the solutions in the graph, x=-1,and y=-3.
A system without any solution:

As you see in this system both lines are parallel, then they do not have any solution.
A system with infinite solutions:

In this system the graph of both equations is the same and therefore there are infinite solutions, for every point on the line.
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