Consistent Inconsistent Systems

Classify the system:

y = ²/₇x - 8

y = ²/₇x - 8

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = -2x + 7

y = -2x + 9

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = -3x + 1

y = -3x + 7

• Consistent Independent

• Consistent Dependent

• Inconsistent

An inconsistent system of linear equations happens when...

• There's only one solution to the system

• There's no solution to the system

• There are infinitely many solutions to the system.

• There are one or infinitely many solutions to the system

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

When a system of two linear equations has one solution it means that...

• The lines are the same line and every point on the line is a solution

• The two lines meet or "intersect" at one point

• The lines are parallel to each other

A consistent system of linear equations happens when...

• There are one or infinitely many solutions to a system

• There's only one solution to the system

• There's no solution to the system

• There's an infinite number of solutions to a system

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

• two lines graphed on top of each other

• two parallel lines

• two lines with one intersection

What type of solution does the following system represent?

• Consistent Independent

• Inconsistent

• Consistent Dependent