5.8 Classifying systems of equations

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.8

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• Infinitely many solutions

• No solution

Solve for x and y

3x + 2y = 16

7x + y = 19

• Infinitely many solutions

• No solution

• (2,-5)

• (2,5)

• There is a solution, but it's not one of these

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.8.EE.B.6

CCSS.8.G.A.5

What is the solution to the systems of equations?

• (-7, -9)

• (-10, 5)

• No Solution

• Infinitely Many Solutions

• (8, -3)

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Tags

CCSS.8.EE.C.8

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

• Intersecting lines
• Same line
• Parallel lines

Tags

CCSS.8.EE.C.8

Solve by elimination:

3x+7y=23

-3x-7y=-17

• No solution

• Infinitely many solutions

• (-3,3)

• (3,3)

• There is a solution, but it's not one of these

Solve by elimination

-12x-10y= 0

6x+5y= -1

• There is a solution, but it's not one of these

• (0,0)

• no solution

• (2,1)

• (-1, 0)