Solving a Three Variable System

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

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)

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 of equations.

x-3y=13

5x+6z=41

2x+4y-z=5

• (7,-2,1)

• (13,0,-4)

• (10,-1,11)

• (1,-4,6)

Solve for x, y and z.

• (2, 5, 6)

• (6, 5, 2)

• (2, 6, 5)

• (6, 2, 5)

Solve the system of equations:

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

What is your solution if your variables go away and you are left with 0 = 0?

• No Solution

• All Real Numbers

• Infinitely Many Solutions

• (x, y, z)

Each image contains three planes which represent possible solution types for a 3x3 system of linear equation. Which image(s) represents a 3x3 system of linear equations with one solution?

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