Systems of Equations Special Cases

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

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.

If a nonlinear system contains a 2 functions that have NO points of intersection, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions

Which two lines show a system with no solution?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue

• No Solution

• Infinite Solutions

• One Solution (10,5)

• One Solution (0,0)

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)