Systems of Equations with Graphs

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8A

When will we get "no solutions" from a system of equations?

• The two lines cross once

• The two lines are the same and overlap

• The two lines are parallel and never touch

• The two lines cross at 2 points

Tags

CCSS.8.EE.C.8B

• 
• 
• 

Tags

CCSS.8.EE.C.8B

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Tags

CCSS.8.EE.C.8B

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

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

• intersecting lines

Tags

CCSS.8.EE.C.8A

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

Tags

CCSS.8.EE.C.8B