What is the elimination method in solving systems of equations?
Topic 4 Study Guide 24-25

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
2.
FLASHCARD QUESTION
Front
Solve the system of equations using elimination: 5x + 4y = 38 and 6x + 3y = 42.
Back
(6, 2)
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the lines represented by the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, and every point on that line is a solution.
5.
FLASHCARD QUESTION
Front
Solve by graphing: y = -2x + 3 and 4x + 2y = -8. What is the solution?
Back
No solution.
6.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities with the same variables.
7.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
Graph the corresponding linear equation as a dashed or solid line, then shade the appropriate region based on the inequality.
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