What is a system of equations?
Solving Systems of Equations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a unique solution?
Back
It means the equations intersect at exactly one point on the graph.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means the equations represent the same line, or coinciding lines.
5.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
Solve one equation for one variable and substitute that expression into the other equation.
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations using elimination?
Back
Add or subtract the equations to eliminate one variable, then solve for the remaining variable.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The solutions are represented by the points where the graphs of the equations intersect.
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