What is a system of equations?
Systems of Equations Word Problems

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•
Mathematics
•
9th 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. The solution is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.
3.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the equations intersect at one or more points.
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect.
6.
FLASHCARD QUESTION
Front
What is the graphical method of solving systems of equations?
Back
The graphical method involves plotting the equations on a graph and identifying the point(s) where they intersect.
7.
FLASHCARD QUESTION
Front
How can you check the solution of a system of equations?
Back
Substitute the solution back into the original equations to verify that both equations are satisfied.
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