Number of Solutions of a System of Linear Equations

Determine the type of solution you will have if you get
3=1/3

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.

Determine the type of solution you will have if you get
X=0

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.

Determine the type of solution you will have if you get
4=8

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions

How many solutions?

• 1 Solution

• 2 Solutions

• No solutions

• Infinite solutions

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• Parallel lines

• the same line

• Intersecting lines