Classifying systems of linear equations

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

Which of the follow graphs has one solution?

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

• Parallel lines

• the same line

• Intersecting lines

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Which of the follow graphs has infinitely many solutions?

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• 
• 

How many solution(s) does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Which of the follow graphs has no solution?

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• 
• 

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines