Solve Linear Systems Using Matrices

The following equations relate the number of children (x) and adults (y) who bought tickets for a Thanksgiving dinner and the money collected in ticket sales. After solving the system, which of the following is true?

• There were 2200 adults at the event.

• There were 1500 adults at the event.

• There were 700 adults at the event.

• There were 5050 adults at the event.

An automobile dealership sells Model A cars and Model B trucks.  The matrix equation models a system of linear equations that relates the revenue generated from the sale of the vehicles and the number of (Model A) cars and (Model B) trucks sold in the month of April.   Which system of equations represents the matrix equation?

An automobile dealership sells Model A cars and Model B trucks.  The matrix equation models a system of linear equations that relates the revenue generated from the sale of the vehicles and the number of (Model A) cars and (Model B) trucks sold in the month of April.   How many cars were sold in April?

• 8

• 10

• 18

• Impossible to know. Need more information.

• a

• b

• c

• d

• 
• 
• 
• 

Solve the systems of equation using matrices.

• (4, 3, -1)

• (3, 8, 9)

• All Real Numbers

• No Solution

Solve the system using matrices.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

• a

• b

• c

• d

Solve the system by inverting the coefficient matrix and using (A^-1)(x)=b. Enter your answer as (x1, x2) format.

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Solve the linear systems together by using the values of b for two separate systems, then reducing an appropriate augmented matrix to reduced row echelon form. Write your answer as (x1, x2), (x1, x2) form.

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