Flashcard 5 - Next Generation Quantitative Reasoning, Algebra, and Statistics Flashcard Set for the ACCUPLACER Test
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The correct answer is:
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.
Explanation:
Graphically, the solution of a system of equations is a point that, when substituted into any of the equations, produces a true statement and shows up on each line.
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