6-5 Systems of Equations (Graphs and Substitution)

Is the point (-2, 4) a solution to the system of equations shown below?

x – y = 6

2x + y = 0

• yes

• no

What is the solution to the system of equations shown below?

y = 2x + 6

y = -x – 3

• (0, -3)

• (-3, 0)

• (6, 0)

• (0, 6)

Which system of equations does the graph represent?

• y = -2x + 1

  
  

  y = x - 2

• y = 2x + 1

  
  

  y = x - 2

• y = -2x + 1

  
  

  y = -x - 2

• y = -1/2x + 1

  
  

  y = x - 2

If a system of equations has no solution, what does the graph look like?

• one line is graphed

• parallel lines

• perpendicular lines

• intersecting lines

Solve the system of equations shown below.

3x - 5y = 11

x = 3y + 1

• (-5, 2)

• (-2, -5)

• (2, 7)

• (7, 2)

Solve the system of equations shown below.

2x + 3y = 1

-3x + y = 15

• (-4, 3)

• (3, -4)

• (-4, -3)

• (0, -4)

What is the solution of the system of equations shown below?

y = -4x + 1

4x + y = 1

• (1, 4)

• No Solution

• Infinite Solutions

• (-1, 4)

Jacob and Noah started tracking their savings at the same time. After how many weeks do they have the same amount of money?

• 0 weeks

• 4 weeks

• 5 weeks

• 6 weeks

Solve the system of equations.

• (-6, 1)

• (-12, -12)

• No solution

• Infinite solutions

Give the solution to the system

• (3,1)
• (1,3)
• (-1,3)
• a hoppy hippo