Solving System with Two Variables

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.

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

What is the solution to this system of equations?

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

What is the solution to this system of equations? Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

What is the solution to this system of equations? 3x - 5y = 22 5x + y = 32 Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

Select the correct solution to the following system of equations.

• (-7,7)

• (-7,-7)

• No Solution

• Infinite Solutions

• (7,-7)

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions