SOLUTION: When graphing two linear equations, what is the signifiance of the intersection of the two graphs. ans if there is no intersection?

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Question 116145: When graphing two linear equations, what is the signifiance of the intersection of the two graphs. ans if there is no intersection?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The point at which two linear equations intersect represents the solution to the system of equations. The solution solves both equations simultaneously.
As an example,
-2x%2By=1
x-y=1
+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B1%2C+x-1%29+
For this system of equations, there is a solution (independent, consistent).
The solution is x=-2, y=-3.
If there is no solution, the case is either that the linear equations represent the same line (dependent).
2x%2By=1
6x%2B3y=3
+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+1-2x%2C+%283-6x%29%2F3%29+
or the lines are parallel and never meet (inconsistent).
2x%2By=1
2x%2By=7
+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+1-2x%2C+7-2x%29+