What is the elimination method in solving systems of equations?
Elimination method

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has an infinite number of solutions?
Back
It means that the equations represent the same line, and thus every point on that line is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
How do you determine the solution to a system of equations graphically?
Back
The solution is the point where the two lines intersect on the graph.
5.
FLASHCARD QUESTION
Front
What is the first step in using the elimination method?
Back
The first step is to align the equations so that corresponding variables and constants are in the same columns.
6.
FLASHCARD QUESTION
Front
How can you eliminate a variable in a system of equations?
Back
You can eliminate a variable by adding or subtracting the equations after multiplying them by suitable coefficients.
7.
FLASHCARD QUESTION
Front
Solve the system using elimination: 2x + 3y = 6 and 4x + 6y = 12.
Back
Infinite number of solutions.
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