Examine Special Linear Systems

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve the system and determine the number of solutions it has. If it has one solution, name it.
-6x+y=6
-3x+y=6

• No Solution

• Infinitely Many Solutions

• One Solution; (-1,0)

• One Solution; (0,6)

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

• intersecting lines

• parallel lines

• skew lines

• same lines

Which two lines show a system with one solution of (0,1)?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue

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

• intersecting lines

• parallel lines

• skew lines

• same lines

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.

• They have the same slopes and different y-intercepts.

• They have the same slopes and the same y-intercepts.

• They have different slopes and the same y-intercepts.

Which two lines show a system with no solution?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue

Solve the system and determine the number of solutions it has. If it has one solution, name it.
4x-6y=12
-2x+3y=-6

• No Solution

• Infinitely Many Solutions

• One Solution; (6,2)

• One Solution; (3,0)

A student attempted to solve a system by elimination and this was the result. What is the solution to the system?

• No solution

• Infinitely Many Solutions

• Cannot be determined

A student attempted to solve a system by elimination and this was the result. What is the solution to the system?

• No solution

• Infinitely Many Solutions

• Cannot be determined