Number of Solutions to a Linear System

Which systems result in NO SOLUTION?

Select ALL that apply

• y = 2x -7

  y = 2x +1

• y= 3x -1

  y= 3x -1

• y= x -9

  y=9x+1

• y= -x +3

  y= -x +8

Tags

CCSS.8.EE.C.8B

Which system results in exactly ONE solution?

• y = 5x -1

  y = 5x -1

• y = 2x +4

  y= 2x +1

• y = 2x +4

  y= 3x -2

• y = -x +7

  y = 2x +10

Tags

CCSS.8.EE.C.8B

Which is true? Select all When a system has the same slope but a different y-intercept...

• it has one solution

• it has no solution

• it has infinitely many solutions

• The lines are parallel

• The lines intersect at one point

Tags

CCSS.8.EE.C.8B

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• no solution

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

3x+7y=23

-3x-7y=-17

• No solution

• infinitely many solutions

• (-3,3)

• (3,3)

Tags

CCSS.8.EE.C.8B

If two lines are parallel they have

• many solutions

• no solutions

• one solution

Tags

CCSS.8.EE.C.8B

If two lines are on top of each other they have

• many solutions

• no solutions

• one solution

Tags

CCSS.8.EE.C.8A

If two lines intersect at one point they have

• no solution

• many solution

• one solution

Tags

CCSS.8.EE.C.8B

Solve by elimination 
-12x-10y= 0 
 6x+5y= -1

• infinite solutions

• (0,0)

• no solution 

• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6