Systems of Equations - Graphing and Elimination

The solution to a system of intersecting linear equations is ALWAYS...

• infinite solutions

• an ordered pair

• a decimal

• no solutions

Which type of graph represents a system of linear equations that has multiple common coordinate pairs as a solution?

• Intersecting lines

• Same line

• Parallel lines

• There is no such thing

Beth showed her friend how to solve this system of equations.

y = 4x - 2

y = 4x + 3

Which statement is true?

• The graphs of the lines intersect at (2, 4).

• The graphs of these lines will never intersect.

• The graphs have infinite solutions.

• The equations intersect the y-axis at 3.

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1.5)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?

• 20 minutes
• 15 minutes
• 10 minutes
• 5 minutes

Does the following system have One Solution, No Solution, or Infinite Solutions.  
y = 4x + 8
y = -5x + 3

• One solution

• No solution

• Infinite solution

• Cannot be determined