Solving Special Systems of Linear Equations

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)

Tags

CCSS.8.EE.C.8B

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

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

Tags

CCSS.8.EE.C.8A

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

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

Tags

CCSS.8.EE.C.8A

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)

Tags

CCSS.8.EE.C.8B

How many solutions does the system have?

• One solution

• No solutions

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

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

• $\left(0,12\right)$
  

• No solution

• Infinitely Many Solutions

• Cannot be determined

Tags

CCSS.8.EE.C.8B

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

• $\left(0,2\right)$
  

• No solution

• Infinitely Many Solutions

• Cannot be determined

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, 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.

Tags

CCSS.8.EE.C.8A