Consistent and Inconsistent Systems

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Classify the system of equations

• consistent and independent

• consistent and dependent

• inconsistent

Classify the system of equations.

• consistent and independent

• consistent and dependent

• Inconsistent

Classify the system of equations

• consistent and independent

• consistent and dependent

• inconsistent

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

How many Solutions?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1)

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

• Yes

• No