Algebra Chapter 4.1 Systems
Home > Flashcards > Print Preview
The flashcards below were created by user
randycapped
on
FreezingBlue Flashcards. What would you like to do?

A system is ___________ if it has no solution.
inconsistent

A system is _________ if it has one or more solutions.
consistent

If the equation in a system of equations represent the same line, then they are _________.

If the equations represent different lines, then they are _____________.
independent

Lines with Infinitely Many Solutions are:
1._________ Lines.
2. Is the system Consistent or Inconsistent?
3. Are the lines Dependent or Independent?
 1. Coinciding
 2. Consistent
 3. Dependent

Lines with No Solution are:
1. _________ Lines.
2. Is the system Consistent or Inconsistent?
3. Are the lines Dependent or Independent?
 1. Parallel
 2. Inconsistent
 3. Independent

Lines with One Unique Solution are:
1. _________ Lines.
2. Is the system Consistent or Inconsistent?
3. Are the lines Dependent or Independent?
 1. Intersecting (at one point only).
 2. Consistent
 3. Independent

How many solutions does a set of parallel lines have?
None.

How many solutions do a set of intersecting lines with one point of intersection have?
One unique solution.

How many solutions do coinciding lines have?
Infinitely many solutions.

If the ________ differ, the lines are different and nonparallel and must cross in exactly one point.
slopes

If the slopes are the same and the yintercepts are different, the lines are _______ and will not __________.

If the slopes and y intercepts are the same, the two equations represent the ______ ______ .
same line

The terms "Consistent" or "Inconsistent" are referring to the ________.
system

The terms "Dependent" and "Independent" are referring to the __________.
lines