# Lesson 12ESolving Systems with MatricesPractice Understanding

### 1.

Set up a matrix that goes with the situation described.

A theater wants to take in for a certain matinee. Children’s tickets cost each and adult tickets cost each. If the theater has a maximum of seats, write a system of equations that can be solved to determine the number of both children and adult tickets the theater can sell.

## Set

Assume that the matrices given represent linear systems of equations. Practice the strategy you used for row reduction of a given matrix so that the left portion of the matrix (the 2 rows and first 2 columns of entries) has s on the diagonal. Write a description of what you did to get from one matrix to another in each step of your sequence of matrices.

## Go

Solve each system of equations using a method of your choice.