Understanding and solving linear equations in three variables

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

• x = 2
  y = -1
  z = 3
• x= -5
  y = 3
  z = 1
• x = 10
  y = -2
  z = 0
• x= 4
  y = 1
  z = -1

Given the following system of equations: 
2x + 3y + z = 27
x + 5y - 3z = 52
-3x + y + 2z = -16
 
Solve for x + y.

• 12
• 5
• 7
• 8

Solve the system:

x+y-z= -1

4x-3y+2z=16

2x-2y-3z=5

• (3, -1, 2)

• (-1, 4, 2)

• (-2, 2, -1)

• (2, -2, 1)

Solve for x, y and z.

• (2, 5, 6)
• (6, 5, 2)
• (2, 6, 5)
• (6, 2, 5)

Given system of linear equations:

 $x+3y+z=0$ 
 $2x-y+z=5$ 
 $3x-3y+2z=10$ 
The value of    $x.y.z=....$ 

• - 4
  

• - 3
  

• - 2
  

• 2

• 4

Solve the system.

• x=-1
  y=2
  z=-2
• x=2
  y=1
  z=-1
• x=-2
  y=-1
  z=-2
• x=2
  y=2
  z=-1

Solve the system of equations, and sum up the x, y, and z for the final answer below:

• 6, x is the smallest number

• 6, z is the smallest number

• -6, z is the smallest number

• -6, x is the smallest number

Solve the system of equations: 

• ( -2, 4, 3)

• ( 2, 1, 6)

• No solution

• (1, 5, -2)

Solve the system of equations:

• A

• B

• C

• D

Solve by elimination or substitution.

• (-6, 3, -4)

• (-3, -2, -2)

• (-4, 4, 6)

• (-2, -2, -3)