What is a system of equations?
Solving Systems by Graphing

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of equations is a set of two or more equations with the same variables that are solved simultaneously.
2.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
A point is a solution if its (x,y) coordinates satisfy all equations in the system.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
It means that the graphs of the equations intersect at exactly one point.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the graphs of the equations are parallel and never intersect.
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means that the equations represent the same line, and every point on that line is a solution.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation consists of the lines or curves of the equations plotted on a coordinate plane.
7.
FLASHCARD QUESTION
Front
How do you graph a linear equation?
Back
To graph a linear equation, you can find two or more points that satisfy the equation and connect them with a straight line.
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