Number of Solutions with System

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• coincident lines

Solve the following system

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

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

• Parallel lines

• Coincident lines

• Intersecting lines

If a system of equations has infinitely many solutions, what does the graph look like?

• intersecting lines

• parallel lines

• coincident lines

Which image shows a system of linear equations with one solution?

• 
• 
• 
• 

Which image shows a system of linear equations with no solutions?

• 
• 
• 
• 

Which image shows a system of linear equations with infinitely many solutions?

• 
• 
• 
•