Solving Systems of Equations

Flashcard
•
Mathematics
•
9th - 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 that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect on a graph?
Back
It means that the system of equations has a unique solution, which is the point of intersection.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The values of the variables that satisfy all equations in the system.
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel?
Back
It means that the system of equations has no solution, as the lines never intersect.
5.
FLASHCARD QUESTION
Front
What does it mean if two lines are coincident?
Back
It means that the system of equations has infinitely many solutions, as the lines lie on top of each other.
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations by substitution?
Back
Solve one equation for one variable and substitute that expression into the other equation.
7.
FLASHCARD QUESTION
Front
How do you solve a system of equations by elimination?
Back
Add or subtract the equations to eliminate one variable, making it easier to solve for the other.
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