Solving Systems of Linear Equations with Elimination
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of linear equations?
Back
Finding the values of the variables that satisfy all equations in the system simultaneously.
3.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
A technique for solving systems of linear equations by eliminating one variable, allowing for the solution of the other variable.
4.
FLASHCARD QUESTION
Front
How do you eliminate a variable in a system of equations?
Back
By adding or subtracting the equations after multiplying them by suitable coefficients to make the coefficients of one variable equal.
5.
FLASHCARD QUESTION
Front
What is the first step in using the elimination method?
Back
Align the equations and decide which variable to eliminate.
6.
FLASHCARD QUESTION
Front
Solve using elimination: 6x - 16y = -8 and 2x + 8y = -16.
Back
(-4, -1)
7.
FLASHCARD QUESTION
Front
Solve using elimination: 10x - 14y = -4 and -7x + 7y = 0.
Back
(1, 1)
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