Systems of Equations (Elimination)

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
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
What does elimination mean in the context of solving systems of equations?
Back
Elimination is a method for solving systems of equations by removing one variable, allowing for the solution of the remaining variable.
3.
FLASHCARD QUESTION
Front
How do you eliminate a variable in a system of equations?
Back
To eliminate a variable, you can add or subtract the equations after multiplying them by suitable coefficients to make the coefficients of one variable equal.
4.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
The first step is to align the equations and decide which variable to eliminate.
5.
FLASHCARD QUESTION
Front
Solve the system of equations by elimination: 5x + 7y = -17 and -8x + 7y = 9.
Back
(-2, -1)
6.
FLASHCARD QUESTION
Front
Solve the system of equations by elimination: x + 6y = -16 and -x - 9y = 19.
Back
(-10, -1)
7.
FLASHCARD QUESTION
Front
Solve the system of equations by elimination: -8x - 6y = -12 and -8x - 8y = 8.
Back
(9, -10)
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