Match each term with the

correct explanation for possible
solutions to a system of
equations. (3 points)
Two
lines
are
parallel
Two lines have the same
slope and y-intercept

Two lines intersect at one
point
say the 3 go to the correct answer

3 answers

Here are the matched terms with their correct explanations for possible solutions to a system of equations:

  1. Two lines are parallel - Two lines have the same slope and different y-intercepts.

  2. Two lines intersect at one point - Two lines have different slopes.

This gives a complete picture of the three possibilities for a system of linear equations:

  1. No solution: The lines are parallel (same slope, different y-intercept).
  2. One solution: The lines intersect at one point (different slopes).
  3. Infinitely many solutions: The lines are the same (same slope and the same y-intercept).

It seems you mentioned "say the 3 go to the correct answer," but there are typically only two situations for intersecting lines (one solution or no solution). Could you clarify if there is a third term you would like to include?

no no u dont get it i mean whcih one go with no solution one solution infinity solution

Got it! Here's the matching of terms with their explanations for the possible solutions to a system of equations:

  1. No solution: Two lines are parallel (same slope and different y-intercepts).

  2. One solution: Two lines intersect at one point (different slopes).

  3. Infinitely many solutions: Two lines are the same (same slope and the same y-intercept).

If you need any more help or clarification, feel free to ask!

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