Solving System of Linear Equation

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of two or more linear equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has no solution?
Back
The lines represented by the equations are parallel and never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has exactly one solution?
Back
The lines intersect at a single point.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has infinitely many solutions?
Back
The lines represented by the equations are the same line.
5.
FLASHCARD QUESTION
Front
How can you determine if two lines are parallel when given their equations?
Back
If their slopes are equal and their y-intercepts are different.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of linear equations?
Back
It is represented by lines on a coordinate plane.
7.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of linear equations?
Back
A method where one equation is solved for one variable, and that expression is substituted into the other equation.
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