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The graph of a system of two equations is a pair of parallel lines. Does the system have a solution? Explain

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User Esaruoho
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1 Answer

16 votes
16 votes

Answer:

No

Explanation:

The solution of a system is where the two lines intersect.

Parallel lines do not intersect, thus the system does not have a solution.

What are parallel lines?

  • lines that do not meet no matter how much you extend the lines in both directions (upwards and downwards)
  • equidistant to each other (same distance between the two lines for the entire length of the line)
User Max Beikirch
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