Solving Systems Using Matrices

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

What is an appropriate first row command to solve this by Gaussian Elimination?

• 2R2 + R2 -> R2

• -2R1 + R2 -> R2

• R3 +R2 --> R3

• 2R1 + R2 --> R2

What is the solution represented by this matrix?

• (2,3,5,0)

• (2,3,4,5)

• Infinite Solutions

• No Solution

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• Row Echelon Form

Solve!

• (2,7,5)

• (-8,7,5)

• (-8,2,5)

• (-3,2,5)

What is the solution to the 4x5 Matrix?

• ( 3, 4, 9, 6 )

• ( 3, 4, 9, -6 )

• ( -6, 9, 4, 3 )

• ( 6, 9, 4, 3 )

Solve the system

3x - y = 4

2x - 3y = -9

• No Solution

• ( 3 , 5 )

• ( -3 , -5 )

• ( 5 , 3 )

Solve the system of equations: 

• ( -2, 4, 3)

• ( 2, 1, 6)

• No solution

• None of these

Solve the system of equations: 

• ( 5, 1, -4)

• (-5, 3, -1)

• None of these

• ( -1, 5, -4)

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)

• (2, 3, 1)

• None of these

• (4, 1, -1)