What is a system of linear equations?
Solving Systems of Linear Equations in Two Variables

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more linear 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 there is exactly one set of values for the variables that satisfies all equations in the system.
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, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
How do you solve a system of equations by graphing?
Back
Graph each equation on the same coordinate plane and identify the point(s) where they intersect.
6.
FLASHCARD QUESTION
Front
What is the elimination method for solving systems of equations?
Back
A method that involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
7.
FLASHCARD QUESTION
Front
What is the substitution method for solving systems of equations?
Back
A method where you solve one equation for one variable and substitute that expression into the other equation.
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