Question

What is the potential number of solutions to a system of two linear equations and what do the solutions represent graphically?

Accepted Answer

*No solution*: the lines are parallel, they never intersect.   
*One solution*: the lines are not parallel and intersect at one point. In cases where the lines intersect at a 90 degree angle, the slopes of the lines are negative reciprocals of each other.   
*Infinite solutions*: the lines are multiples of each other and intersect at every point.

Flashcard 5 - Next Generation Quantitative Reasoning, Algebra, and Statistics Flashcard Set for the ACCUPLACER Test

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