Lesson 17-5: Classifying Systems of Equations (12/9)

Which of the follow graphs has one solution?

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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?

• 
• 
• 

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

The table lists some values of two linear equations. What is the solution of the system?

• (-2,3)

• (1,3)

• (3, 7)

• (4,9)

Solve the 2nd equation for y and determine the solution with a table.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

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