What is a linear system?
Mastering Linear Systems and Inequalities

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
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 point to be a solution to a linear system?
Back
A point is a solution to a linear system if it satisfies all the equations in the system.
3.
FLASHCARD QUESTION
Front
What is the elimination method in solving linear systems?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
4.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
Substitute the coordinates of the point into each equation. If the equations hold true, the point is a solution.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A linear equation can be represented graphically as a straight line on a coordinate plane.
6.
FLASHCARD QUESTION
Front
What is the intersection of two lines in a graph?
Back
The intersection of two lines represents the solution to the system of equations, where both equations are satisfied.
7.
FLASHCARD QUESTION
Front
What is a consistent system of equations?
Back
A consistent system has at least one solution, meaning the lines intersect at one or more points.
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