What is a system of equations?
Systems of equations

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•
Mathematics
•
10th 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 for two lines to be parallel in a system of equations?
Back
The slopes of parallel lines are the same.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.
4.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the lines are parallel and have different y-intercepts.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
It is represented by the intersection of lines on a coordinate plane.
6.
FLASHCARD QUESTION
Front
What is the substitution method 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.
7.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.
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