System of Equations with Graphing

For the following systems, decide if there will be one solution, no solution, or infinitely many solutions.

Use your Desmos graphing calculator to help you visualize.

• One Solution

  (Intersecting Lines)

• No solution

  (Parallel Lines)

• Infinitely many solutions

  (Same line)

For the following systems, decide if there will be one solution, no solution, or infinitely many solutions.

Use your Desmos graphing calculator to help you visualize.

• One Solution

  (Intersecting Lines)

• No solution

  (Parallel Lines)

• Infinitely many solutions

  (Same line)

For the following systems, decide if there will be one solution, no solution, or infinitely many solutions.

Use your Desmos graphing calculator to help you visualize.

• One Solution

  (Intersecting Lines)

• No solution

  (Parallel Lines)

• Infinitely many solutions

  (Same line)

For the following systems, decide if there will be one solution, no solution, or infinitely many solutions.

Use your Desmos graphing calculator to help you visualize.

• One Solution

  (Intersecting Lines)

• No solution

  (Parallel Lines)

• Infinitely many solutions

  (Same line)

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

•  a. y = ½ x + 2

  y = –x – 3  

• b. y = ½ x + 2

  y = x – 3

• c. y = –½ x – 3

      y = –x + 2   

• d. y = –½ x + 3

  y = x + 2

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

•    a. y = 2x + 4

  y = 3x + 1

• b. y = 2x + 4

  y = –3x + 1

     

• c. y = –2x + 1    

   y = –3x + 4 

• d. y = 2x + 1

  y = –3x + 4

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

The graph shows the system of which two equations?