Systems of Equations in Three Variables

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:
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4

• (4, 0, -2)

• (-4, 0, -2)

• Many Solutions

• I did not get any of the answers above so I am assuming none of the above.

Solve the system.

• (5, -6, 3)

• (5, 3, -1)

• (5, -6, 5)

• No Solution

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

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

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

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)

Solve the system of equations: 

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)