Systems of Linear Equations on a Graph

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.8A

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Tags

CCSS.8.EE.C.8B

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Does the following system have One Solution, No Solution, or Infinite Solutions.  
y = 4x + 8
y = -5x + 3

• One solution

• No solution

• Infinite solution

Tags

CCSS.8.EE.C.8B

The same line on a graph, has how many solutions?

• One solution

• Infinite solutions

• No solution

Tags

CCSS.8.EE.C.8B

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Tags

CCSS.8.EE.C.8B

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B