Linear Equations in Two Variables
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Description and Tags
These flashcards cover the fundamental concepts and methods associated with linear equations in two variables as discussed in the lecture.
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16 Terms
Pair of Linear Equations
A set of two equations involving two variables.
Consistent Pair of Equations
A pair of linear equations that has at least one solution.
Inconsistent Pair of Equations
A pair of linear equations that has no solution.
Dependent Pair of Equations
A pair of linear equations with infinitely many solutions.
Graphical Method
A technique to solve linear equations by plotting graphs.
Substitution Method
A method of solving equations by isolating a variable.
Elimination Method
A method of solving equations by eliminating one variable to find others.
Unique Solution
A solution where the lines intersect at a single point.
Infinitely Many Solutions
A situation where two equations represent the same line.
No Solution
A situation where two equations represent parallel lines.
Cost of Giant Wheel Rides
3 units for each ride on the Giant Wheel.
Linear Equation Example
Equation y = (1/2)x representing the relationship between rides and games.
Intersecting Lines
Two lines that meet at a single point, representing a unique solution.
Coincident Lines
Two lines that overlap completely, indicating infinitely many solutions.
Parallel Lines
Two lines that never intersect and have no solutions.
