Questions and Answers
What is a system of linear equations?
What is a system of inequalities?
A set of two or more inequalities with the same variable.
What is the Break Even Point?
The point at which income equals cost.
The term 'Layton' is used to describe something intelligent.
Signup and view all the answers
A consistent system has more than one solution.
Signup and view all the answers
What characterizes an inconsistent system?
Signup and view all the answers
An independent system has only one solution.
Signup and view all the answers
A dependent system has a finite number of solutions.
Signup and view all the answers
What is the Substitution Method?
Signup and view all the answers
What is the Elimination Method?
Signup and view all the answers
What is Linear Programming?
Signup and view all the answers
What is a feasible region?
Signup and view all the answers
Study Notes
System of Linear Equations
- Comprises two or more linear equalities involving the same variable.
System of Inequalities
- Consists of two or more inequalities that share the same variable.
Break Even Point
- The critical point where income equals expenses, indicating no profit or loss.
Consistent Systems
- Defines a system with exactly one solution, indicating that the lines intersect at a single point.
Inconsistent Systems
- Characterizes a system that has no solution, often resulting in parallel lines that never intersect.
Independent Systems
- Describes a system with only one unique solution, where the lines cross at one point.
Dependent Systems
- Refers to a system that has an infinite number of solutions, where the equations effectively describe the same line.
Substitution Method
- A technique where one variable is expressed from one equation and substituted into another equation in the system.
Elimination Method
- A strategy used to remove one variable by using subtraction between two equations, especially when they share the same coefficient.
Linear Programming
- A mathematical method for determining the maximum or minimum value of a function subject to a set of inequalities, where each inequality represents a limitation or constraint.
Feasible Region
- The area in a graph representing all possible solutions, defined by the vertices of the solution set for the inequalities.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on systems of linear equations and inequalities. This quiz covers key concepts such as break even points, consistent and inconsistent systems, and various methods of solving them. Challenge yourself to differentiate between dependent and independent systems as well.
