Systems with Infinite or No Solutions

Solve the system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system of equations.

• (-6, 1)

• (0, 0)

• (1, -6)

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve the system of equations.

• (3, 33)

• (7, 77)

• (2, 22)

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which graph represents a system of equations with no solution?

• 
• 
• 
• None of the above

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

Tags

CCSS.8.EE.C.8B

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

You solve a system of equations and you last line is:

4 = -5

What does this mean?

• There is no solution.

• The lines are parallel.

• The lines intersect.

• The solution is (4, -5)

• The are infinite solutions.

You solve a system of equations and you last line is:

x = 5

What does this mean?

• The graph of the lines intersect at one point

• There is one solution.

• The are infinitely many solutions.

• There is no solution.

• The graph is of parallel lines

Solve the system by elimination.  

4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 
• (−10, −1) 
•  (10, −1) 
•  No solution 

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6