Graphing Systems of three Equations

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ___________________ (x,y,z).
Back
Ordered Triple
2.
FLASHCARD QUESTION
Front
A graph of a system of three linear equations in three variables has how many solutions if the lines intersect at a single point?
Back
1
3.
FLASHCARD QUESTION
Front
A graph of a system of three linear equations in three variables has how many solutions if the lines are parallel and do not intersect?
Back
0
4.
FLASHCARD QUESTION
Front
A graph of a system of three linear equations in three variables has how many solutions if the lines coincide?
Back
Infinitely many solutions
5.
FLASHCARD QUESTION
Front
What is the maximum number of solutions a system of three linear equations can have?
Back
3 (one for each variable) or infinitely many if they coincide.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
The equations represent parallel planes that do not intersect.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
The equations represent the same plane or coinciding planes.
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