Solve Systems Using Matrices

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Solve the system.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system of equations: 

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

Solve the system of equations: 

• ( -1, 6, 1)

• ( 1, 6, -1)

• None of these

• ( -6, -1, 1)

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

• (0,0,11)

• (1,-2,6)

• (-1,2,-16

• (0,1,-14)

Solve the system of equations: 

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)

Solve the system of equations.

-2x+6y= 16

-4x-3y= 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

Write the system of equations to solve this problem.

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 the solution represented by this matrix?

• (2,3,5,0)

• (2,3,4,5)

• Infinite Solutions

• No Solution