2.1 Systems of Equations in Two Variables

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Mathematics
•
9th - 12th Grade
•
Hard
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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 it mean for a system of equations to be consistent?
Back
A consistent system of equations has at least one solution, meaning the lines represented by the equations intersect at one or more points.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system of equations has no solutions, meaning the lines represented by the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation of a system of equations is the intersection of the lines on a coordinate plane, which represents the solution(s) of the system.
5.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations using elimination?
Back
To solve by elimination, add or subtract the equations to eliminate one variable, making it easier to solve for the remaining variable.
7.
FLASHCARD QUESTION
Front
What is the solution to the system: x - 4y = 16 and 5x + 4y = 8?
Back
(4, -3)
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