What is a system of equations?
Solving Systems by Elimination

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•
Mathematics
•
8th 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 to solve a system of equations by elimination?
Back
It means to eliminate one variable by adding or subtracting the equations, allowing you to solve for the other variable.
3.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
A method for solving systems of equations by combining equations to eliminate one variable.
4.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has no solution?
Back
If the equations represent parallel lines, they have no solution because they never intersect.
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means the equations represent the same line, and every point on that line is a solution.
6.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
Align the equations so that like terms are in the same column.
7.
FLASHCARD QUESTION
Front
How can you make the coefficients of one variable the same in both equations?
Back
You can multiply one or both equations by a number to achieve the same coefficient for one variable.
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