Number of Solutions Linear System Graph

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

• Parallel lines

• Coincident lines

• Intersecting lines

Tags

CCSS.8.EE.C.8A

If a system of equations has infinitely many solutions, what does the graph look like?

• intersecting lines

• parallel lines

• coincident lines

Tags

CCSS.8.EE.C.8A

Which of the following systems of linear equations represent coincident lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Tags

CCSS.8.EE.C.8B

Which image shows coincident lines in a system of linear equations?

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Tags

CCSS.8.EE.C.8A

Which image shows a system of linear equations with one solution?

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Tags

CCSS.HSA.REI.C.7

Which image shows a system of linear equations with no solutions?

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Tags

CCSS.8.EE.C.8A

Which image shows a system of linear equations with infinitely many solutions?

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Tags

CCSS.8.EE.C.8A

Solve the following system.

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• intersecting lines

• parallel lines

• coincident lines

Tags

CCSS.8.EE.C.8A

Which image shows intersecting lines in a system of linear equations?

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Tags

CCSS.8.EE.C.8B