What is a system of equations?
Systems

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Mathematics
•
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 for a system to have one solution?
Back
It means that the equations intersect at exactly one point on a graph.
3.
FLASHCARD QUESTION
Front
What does it mean for a system to have no solution?
Back
It means that the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system to have infinitely many solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
How do you find the solution to a system of equations graphically?
Back
By plotting the equations on a graph and identifying the point(s) where they intersect.
6.
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 then substituted into the other equation.
7.
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.
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