Systems of Equations in Two and Three Variables

Solve the system of equations: 

• ( -2, 4, 3)

• ( 2, 1, 6)

• No solution

• None of these

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12
  Child: $8
  Senior: $8

• Adult: $6
  Child: $4
  Senior: $5

• Adult: $7
  Child: $5
  Senior: $4

• I did not get any of the answers above so I am assuming none ofthe above.

What is the solution to the system of linear equations graphed below?

• No Solution

• Infinitely Many Solutions

• One Solution: (4, 2)

• One Solution: (2, 4)

How many solutions does the system of equations below have?

• One Solution

• No Solution

• Infinitely Many Solutions Infinitely Many Solutions

How many solutions does the system of equations below have?

• One Solution

• No Solution

• Infinitely Many Solutions Infinitely Many Solutions

What is the solution to the system of linear equations graphed below?

• No Solution

• Infinitely Many Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

What is the solution to the system of linear equations graphed below?

• No Solution

• Infinitely Many Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

Use elimination or substitution to solve the systems.

• (-2, -3, 3)

• (-2, 3, 3)

• (2, -3, 3)

Use elimination or substitution to solve the systems.

• (4, 2, 0)

• (4, -2, 0)

• (-4, -2, 0)

What is the solution to the system?

• (-4,3,5)

• (2,-3,5)

• no solution

• infinitely many solutions