130k views
9 votes
The graph of a system of two equations is a pair of parallel lines. Does the system have a solution? Explain

PLEASE HELP ♡

User Edoardo
by
5.1k points

1 Answer

13 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 Tarydon
by
5.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.