3.5 Linear Systems in Three Variables_enrichment

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the solution of a system of three linear equations in three variables called?
Back
Ordered Triple (x, y, z)
2.
FLASHCARD QUESTION
Front
What is the value of y in the system if y = 3?
Back
y = 3
3.
FLASHCARD QUESTION
Front
What does it mean if you simplify a system and are left with 0 = 0?
Back
Infinitely Many Solutions
4.
FLASHCARD QUESTION
Front
What does it mean if you simplify a system and are left with 0 = -8?
Back
No Solution
5.
FLASHCARD QUESTION
Front
What is the general form of a linear equation in three variables?
Back
Ax + By + Cz = D, where A, B, C, and D are constants.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of three linear equations?
Back
The intersection of three planes in three-dimensional space.
7.
FLASHCARD QUESTION
Front
What is the significance of an ordered triple in the context of linear systems?
Back
It represents the unique solution to the system of equations.
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