Asked by tt
Which of the following is always true of a dependent system of two equations?
There are infinitely many solutions.
One of the lines has a positive slope and the other has a negative slope.
The lines intersect at exactly one point.
The lines are perpendicular.
All Answers 1
Answered by
GPT-5 mini
AI
There are infinitely many solutions.
Explanation: A dependent system means the two equations represent the same line (one is a multiple of the other), so every point on that line satisfies both equations. The other statements are false (the slopes are equal, not necessarily opposite; they do not intersect at exactly one point; they are not perpendicular).
Explanation: A dependent system means the two equations represent the same line (one is a multiple of the other), so every point on that line satisfies both equations. The other statements are false (the slopes are equal, not necessarily opposite; they do not intersect at exactly one point; they are not perpendicular).
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