Solving Systems of Equations with 3 variables

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations?
Back
Finding the values of the variables that satisfy all equations in the system simultaneously.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The intersection points of the graphs of the equations represent the solutions.
4.
FLASHCARD QUESTION
Front
What is a solution to a system of equations with three variables?
Back
A set of values (x, y, z) that satisfies all equations in the system.
5.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where one equation is solved for one variable, and that expression is substituted into the other equations.
6.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method that involves adding or subtracting equations to eliminate one variable, making it easier to solve for the others.
7.
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.
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