Understanding and solving linear equations in three variables

Solve the system of equations: 

• ( -2, 4, 3)
• ( 2, 1, 6)
• No solution
• infinite # of solutions

In the following system, which equations would you start with to solve?

1. x + y + z = 6

2. 3x + 2y - 2z = 1

3. 4x - y + 5z = 17

• Equations 1 and 2.

• Equations 2 and 3.

• Equations 1 and 3.

• All three equations.

what is the value of y in the system

• y=3
• y=-1
• y=-4
• y=2

Solve the system.

• (2, -2, 3)
• (2, 1, 4)
• (-2, 2, -3)
• No Solution

Solve the system:

• $\left(-2,\ 4,\ -3\right)$
  

• 
  $\left(2,\ 4,-3\right)$

• Infinitely Many Solutions

• No Solution

Solve:

x + y +z = 200

z = 2y

12x + 24y + 36z = 6000

• (20,60,120)

• (60,20,125)

• (20,120,60)

• (150,60,10)

Solve the system of equations: 

• ( -2, 3, -3)

• No solution

• ( -2, -3, 3)

• ( -3, 3, -2)

Find the solution to the system.

• (4, 0, 2)

• (-4, 0, -2)

• (4, 0, -2)

• x

• y

• z

• not enough information

Solve the system of equations: 

• ( -2, -3, 4)
• ( -2, 4, -3)
• ( 2, -4,3)
• None of these