Classifying Linear Equations

In the context of linear systems, what does it mean for a system to be consistent and dependent?

• The system has at least one solution and a finite number of solutions.

• The system has exactly one solution and an infinite number of solutions.

• The system has no solution and an infinite number of solutions.

• The system has at least one solution and an infinite number of solutions.

Explain the graphical representation of a linear system with infinitely many solutions.

• Parallel lines

• No solution

• Overlapping lines

• 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

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Parallel Lines have how many solution(s)?

• No solution

• One solution

• Infinitely Many Solutions

Classify the system below.  

y = 4x + 8

y = -5x + 3

• inconsistent

• consistent and independent

• consistent and dependent

Classify the system below.  

y = 3x + 8

y = 3x + 3

• inconsistent

• consistent and independent

• consistent and dependent