Questions and Answers
What is it called when a linear system has exactly one solution?
What does it mean if a linear system has infinitely many solutions?
consistent and dependent, lines with the same slope and same y-intercept.
What characterizes a linear system with no solution?
inconsistent, same slope with different y-intercepts.
Study Notes
Linear Systems Classifications
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Exactly One Solution:
- Characterized by consistent and independent systems.
- Represented by intersecting lines that have different slopes, ensuring a unique point of intersection.
-
Infinitely Many Solutions:
- Defined as consistent and dependent systems.
- Occurs when the lines have the same slope and the same y-intercept, making them identical.
-
No Solution:
- Classified as inconsistent systems.
- Features parallel lines that have the same slope but different y-intercepts, leading to no points of intersection.
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Description
This quiz helps you understand the classification of linear systems based on their solutions. You will explore terms such as 'Exactly One Solution,' 'Infinitely Many Solutions,' and 'No Solution.' Perfect for students studying algebra and linear equations.
