What is a system of equations?
RE-TAKE FLASHCARD SYSTEM OF EQUATIONS 2

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Mathematics
•
12th 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
What does it mean to solve a system of equations by elimination?
Back
Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
3.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.
4.
FLASHCARD QUESTION
Front
What is the elimination method in solving equations?
Back
The elimination method involves manipulating equations to eliminate one variable, allowing for the straightforward solving of the remaining variable.
5.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a system of equations?
Back
Coefficients represent the relationship between variables in an equation. They determine the slope and position of the lines represented by the equations.
6.
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 hold true.
7.
FLASHCARD QUESTION
Front
What is the graphical interpretation of a system of equations?
Back
The graphical interpretation involves plotting the equations on a coordinate plane; the solution is where the lines intersect.
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