Augmented Matrices

Solve, if possible.

4x - 2y = 2

5x - 2y + z = 7

3x + 4y - z = 3

• x = 1, y = 1, z = 4

• No solution

• Infinitely many solutions

• x = -3, y = -1, z = -1

Solve, if possible.

x - y + 2z = -1

-3x + 3y + 5z = 3

2x - 2y = -2

• x = 1, y = 1, z = 4

• No solution

• Infinitely many solutions

• x = -1, y = -1, z = 4

Solve, if possible.

3x + 3y = -12

-4x - 2y + 2z = -14

x + 3y + 2z = 11

• x = 1, y = 1, z = 4

• No solution

• Infinitely many solutions

• x = -1, y = -1, z = 4

Solve, if possible.

2x + 5y + z = -12

-x + 4y + 3z = -4

5x - 2z = -13

• x = 3, y = 1, z = 1

• No solution

• Infinitely many solutions

• x = -3, y = -1, z = -1

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

• 10 adults, 11 children
• 12 adults , 9 children
• 11 adults, 10 children
• 9 adults, 12 children

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?

• nickels is 20

  dimes is 3

  quarters is 2

• nickels is 3

  dimes is 5

  quarters is 17

• nickels is 13

  dimes is 10

  quarters is 2

• nickels is 12

  dimes is 10

  quarters is 3

Solve the system using matrices.

• A

• B

• C

• D

Solve the system using matrices.

• A

• B

• C

• D

Solve the system using matrices.

• A

• B

• C

• D

Solve the system using matrices.

• A

• B

• C

• D