Type:Interactive, Lesson Plan
This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Determine if a systems of equations has no solution
In this mini-lesson, we explain how to find out whether a system of equations has no solution. In a system of two linear equations Ax + By + C = 0 and Dx + Ey + F = 0, the only circumstance in which the system of equation would have no solution is when the lines are parallel, i.e. they have the same slope and they don't overlap. Then there can be no points that are common to both lines. In case of the above system of two linear equations, the two lines are parallel if A/B = D/E. For example, 5x – 3y = 1 and 15x – 9y = 5 have no solution because A/B = D/E = –5/3.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.
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Keywords:intersection point linear equations no solution equations solving equations lines parallel online algebra homework online math systems slope quizzes solution
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