
Linear Systems
Flashcard
•
Mathematics
•
KG - University
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear system?
Back
A linear system is a collection of one or more linear equations involving the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
It means that the lines represented by the equations intersect at exactly one point.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solutions?
Back
It means that the lines represented by the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have many solutions?
Back
It means that the lines represented by the equations are the same line, so they intersect at infinitely many points.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?
Back
(1, 3)
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y = 4x + 1 and 3x + 2y = 13?
Back
(1, 5)
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A straight line on a coordinate plane.
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