Solving Systems of Equations by Substitution and Elimination

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
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?
Back
Finding the values of the variables that satisfy all equations in the system.
3.
FLASHCARD QUESTION
Front
What is the substitution method?
Back
A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.
4.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
A method for solving systems of equations by adding or subtracting equations to eliminate one variable.
5.
FLASHCARD QUESTION
Front
When is it appropriate to use substitution?
Back
When one equation is easily solvable for one variable.
6.
FLASHCARD QUESTION
Front
When is it appropriate to use elimination?
Back
When both equations are in standard form and can be easily manipulated to eliminate a variable.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
The lines represented by the equations are parallel and never intersect.
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