Solving Systems of Equations by Substitution

Flashcard
•
Mathematics
•
8th 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 substitution in solving systems of equations?
Back
A method where one equation is solved for one variable, and that expression is substituted into the other equation.
4.
FLASHCARD QUESTION
Front
How do you check if a solution is correct for a system of equations?
Back
Substitute the solution back into both original equations to see if they hold true.
5.
FLASHCARD QUESTION
Front
What is an infinite solution in a system of equations?
Back
When the equations represent the same line, resulting in countless solutions.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
The equations represent parallel lines that never intersect.
7.
FLASHCARD QUESTION
Front
Solve the system: 3x + 2y = 8 and -x + y = -11.
Back
(6, -5)
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