Systems of Equations - Special Solutions

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

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

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

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 one solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• same lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

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)

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)

Solve the system and determine the number of solutions it has. If it has one solution, name it.
 $y=7x+10$ 
  $y=7x-5$  

• 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, 4)

• One Solution: (0, 6)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

• No Solution

• Infinite Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11