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Imagine that two linear equations form a system. You elect to solve the system by graphing. What are the three situations that may occur in discovering the solution to the system? Discuss each possibility and what it looks like graphically.

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User MDave
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Answer:

They could be the same line, they could cross at one point, or they could be parallel.

Step-by-step explanation:

1) The equations could be the same line. When you graph them they could overlap, have exactly the same slope and y-intercept, and be the same line.

2) They could cross at one point. This could look like an X, be perpendicular, or anything that had the two lines cross. Then you could solve for that point.

3) The lines could be parallel. This would mean they would have the same slope, but different x and y intercepts. If two lines are parallel, they do not intersect.

User Dinesh Ravi
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