Representing Constraints on Solutions: Systems of Linear Equations

What is a system of linear equations?

• An equation with no variables

• A set of equations with the same variables

• A single equation with multiple solutions

• A set of equations with different variables

Why is it not enough for a point to be a solution to just one equation in a system?

• Because it must be a solution to at least two equations

• Because it must satisfy all equations in the system

• Because it only needs to satisfy the last equation

• Because it only needs to satisfy the first equation

In the ticket sales problem, what does the variable 'S' represent?

• The total profit from ticket sales

• The number of adult tickets sold

• The number of student tickets sold

• The total number of tickets sold

What is the total profit from ticket sales in the school play problem?

• $293

• $95

• $1275

• $198

Which method involves finding the intersection point of two lines to solve a system of equations?

• Using a table

• Elimination

• Substitution

• Graphing

How many adult tickets were sold according to the solution of the system?

• 95

• 198

• 1275

• 293

Which method involves replacing one variable with an expression from another equation?

• Elimination

• Using a table

• Graphing

• Substitution