Classifying Solutions to Systems

Without graphing, classify each system as independent, dependent, or inconsistent.
-3x + y = 4
3x - y = 1

• Independent
• Dependent
• Inconsistent

Without graphing, classify each system as independent, dependent, or inconsistent.
x - 3y = 2
4x - 12y = 8

• Independent
• Dependent
• Inconsistent

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

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

• Parallel lines
• the same line 
• Intersecting lines

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

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

• Parallel lines
• the same line 
• Intersecting lines

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Identify the solution to this system of equations.

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

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table