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Question 196519: If you think about a system of two linear equations (where each of the linear equations has two variables from a graphical point of view, then you can view the system as representing two lines in the xy planes. In the situation, one of these things must happen regarding how the lines interact with each other. What are these three things?
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! 1) The two lines intersect. In this case, there is one solution to the systme of equations and it is the point of intersection of the two lines.
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2) The two lines are parallel. In this case, the lines do not intersect and there is no solution to the system of equations.
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3) The two lines are coincident (one line is directly on top of the other line). In this case there is an infinite number of solutions.
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