Consistent and Inconsistent Systems

Consistent or Inconsistent?

• Consistent and independent

• Consistent and dependent

• Inconsistent

what can you say about these lines

• Consistent and Dependent

• Consistent and Independent

• Inconsistent

what can you say about these lines

• Consistent and Dependent

• Consistent and Independent

• Inconsistent

what can you say about these lines

• Consistent and Dependent

• Consistent and Independent

• Inconsistent

Which of the following statement is TRUE?

• If their slope are different, then the system is consistent and dependent

• If their slopes are equal and the y-intercepts are also equal, the system has no solution

• If their slopes are equal and their y-intercepts are different, then the system is inconsistent

• If their slopes are different, then the system has infinitely many solutions

If the graph is of two lines that are THE SAME, this system is...

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

If a system of linear equations is consistent and independent, the lines are...

• Parallel lines

• The same line

• Intersecting lines

How many solution/s if the system is inconsistent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

How many solution/s if the system is consistent and dependent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

How many solution/s if the system is consistent and independent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution