Solving System of Linear Equations Graphing

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Coincident Lines have how many solutions?

• One Solution

• Infinitely Many Solutions

• No Solutions

• As many solutions as you want

Parallel Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Intersecting Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

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

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

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

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• x = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

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

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

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

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

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

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