Dependent Linear System

A method to solve a system. One equation is solved for one of the variables then the expression for that variable is substituted into the other equation

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

A method to solve a system. Two equations are combined to eliminate one variable.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Systems that produce coincident lines when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

two or more linear equations with the same variables

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

Lines that occupy the same location, pass through the same set of ordered pairs and intersect infinitely many times.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

A system that has an infinite number or solutions

• Independent-consistent

• Dependent-consistent

• Inconsistent

A line that has infinite number of solution.

• Intersecting lines

• Parallel lines

• Coincident lines

• Perpendicular lines

Coinciding lines have _____ solutions.

• One

• Two

• Infinite

• None

This is an example of

• solving a system by graphing.

• solving a system by elimination.

• solving a system by substitution.

• solving a system by inverse operations

This is an example of a system of linear equations that are

• consistent and independent

• consistent

• inconsistent and dependent

• consistent and dependent