Solve Three Equations in a Three Variable System of Equations

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair

• Integer

• Ordered Triple

• Sum

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system

• {x,y,z}={1,-4,-5}

• {x,y,z}={3,3,-3}

• {x,y,z}={2,4,-5}

• {x,y,z}={1,2,3}

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

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)