What is a system of equations?
System of Equations

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean when a system of equations has no solution?
Back
It means the lines represented by the equations are parallel and never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean when a system of equations has infinite solutions?
Back
It means the equations represent the same line, so every point on the line is a solution.
4.
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 equation.
5.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.
6.
FLASHCARD QUESTION
Front
What is the graphical method for solving systems of equations?
Back
A method where each equation is graphed on the same coordinate plane, and the solution is the point of intersection.
7.
FLASHCARD QUESTION
Front
What does it mean if two lines have the same slope but different y-intercepts?
Back
The lines are parallel and will never intersect, indicating no solution for the system.
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