Nature of Solutions for Systems of Equations

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

How many solutions?

• one solution

• no solution

• infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.8A

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

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

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

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=3x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B