Systems of Linear Equations Types of Solutions

The graph shown represents what type of a system?

• Consistent

• Inconsistent

• Independent

• Dependent

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

• Coincident Lines

• Parallel lines

• Intersecting Lines

How many solutions does the sytem have?

• one solution

• no solution

• infinitely many solutions

Which of the following system of linear equations is consistent and independent?

• 3x + y =4

  x - y =8

• 2x + y = -4

  y =-2x -5

• x+y =6

  2x + 2y = 12

• 3x - 4y =6

  6x -8y =5

• consistent and independent

• inconsistent

• consistent and dependent

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Coincident Lines

• Parallel lines

• Intersecting Lines

How would you know if an ordered pairn or a point is a solution to the system of linear equations?

• It makes one equation true.

• The ordered pair(x, y) satisfies both equations.

• It makes both equations false.

• It makes one equation true, and the other false.

• consitent and independent

• inconsistent

• consitent and dependent

Which of the following systems of linear equations is dependent?

• x + y = 7

  2y = 14 - 2x

• 3x + 2y =0

  x -2y =5

• x = 6

  2x -3y = 24

• y = 3x + 5

  6x - 2y = 8

What is the solution to the systems of equations?

• One Solution

• Two Solutions

• No Solutions

• Many Solutions