Determine the Number of Solutions for a System of Linear Equations

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

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Identical lines

• Parallel lines

Tags

CCSS.8.EE.C.8A

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B

What is the solution to this system?

• One Solution

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

When you graph the exact same equation twice,

• you will have no solution. 

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8A

• Parallel Lines

• Same Line 

• Intersecting Lines

Tags

CCSS.8.EE.C.8A

What is the solution?

• No solution

Tags

CCSS.8.EE.C.8A

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

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B

• Infinite Number of Solutions

• No Solution

• One Solution

Tags

CCSS.8.EE.C.8B