Linear equations (two variables)

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

• Parallel lines

• Coincident lines

• Intersecting lines

What is the solution to this system?

• (-2, -2)
• (2, -2)
• (-2,2)
• (2, 2)

What is the solution to the system?

• ( 1 , 2 )

• 3

• ( 2 , 1 )

• ( 3, 2 )

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

The solution to this system is:

• No solution
• (0, 1)
• (0, -2)
• (4, 3)

Type of solution when 2 linear equations form the same line

(select all answers that apply)

• Infinitely many solutions

• no solution

• All real solutions

• one ordered pair

Coincident 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

What is the solution to the system of equations?

• (2, 3)

• (3, -2)

• (-2, 3)

• (3, 0)

If a system of linear equations has infinite solutions, which of the following is NOT true?

• The graph forms the same line.

• The lines do not intersect.

• The lines have the same slope.

• The lines have the same y-intercept.

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)