
system of equation word problem
Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.
2.
FLASHCARD QUESTION
Front
What are the methods to solve a system of equations?
Back
The main methods to solve a system of equations are: 1) Graphing, 2) Substitution, 3) Elimination, and 4) Matrix methods.
3.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
4.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system of equations has at least one solution. It can be either a unique solution or infinitely many solutions.
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system of equations has no solutions, meaning the equations represent parallel lines that never intersect.
7.
FLASHCARD QUESTION
Front
What is a unique solution in the context of systems of equations?
Back
A unique solution occurs when there is exactly one set of values for the variables that satisfies all equations in the system.
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