1. How will you know if the graphs of a system of linear equation intersect at a single point?
2. When do you say that the lines of the system of linear equations are intersecting, parallel, and coinciding? Explain your answer.
2. When do you say that the lines of the system of linear equations are intersecting, parallel, and coinciding? Explain your answer.
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Answer:
1. The graphs of two lines will intersect at a single point if they are not parallel. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point.
2. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point. For two lines that are not parallel, the single point of intersection will satisfy both equations and therefore represent the solution to the system.