Solving Systems of Equations Using Augmented Matrices

Jemima is in the process of reducing her matrix. Her next step is shown here. What was her mistake?

• She should have multiplied the 3 by its' reciprocal

• She has the bottom row already solved for

• She multiplied her top row correctly, but that doesn't change the first row when we add it to another row

• Nothing. She performed her step correctly.

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables

x: reserved

y: field-level

z: box seats

Solve the System of Equations using Augmented Matrices.

• (5,-4)

• (5,4)

• (-5,4)

• (-5,-4)

Solve the system using matrices.

• A

• B

• C

• D

3x + y = –21
x + y = –5
 
Answer:
x = –8
y = 3 

• True

• False

Solve the system of linear equations using matrices 2x + 13y = -29

4x - 3y = 29

• (7, -11)

• (9, 13)

• (5, -3)

• (-2, -5)

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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