Linear equations (three variables)

Solve the system of equations: 
 $x-y-2z=4$  
 $4x-4y-z=2$  
 $-x+y+2z=-3$ 

•  $x=1,\ y=-1,\ z=0$  

•  $x=0,\ y=0,\ z=1$  

• No solution

•  Infinite solutions

For :
 $x+y\ +z=-1$  
 $4x+3y+2z=-10$  
 $2x-4y-2z=-6$  
Solve the System

•  $\left(-3,2,1\right)$  

•  $\left(-2,-3,3\right)$  

•  $\left(-3,-2,4\right)$  

•  $\left(4,-2,-3\right)$  

Solve the system using DESMOS.

• (-10, -4)
• (-10, -4) and (-6, 5)
• (-10, -4) and (-6, 5) and (0, 5)
• (-10, -4) and (-6, 5) and (0, 5) and (4, -4)

Solve the system of equations: 
 $x+5y-3z=22$  
 $3x-4y+2z=-13$  
 $2x+3y+4z=3$ 

•  $x=1,\ y=3,\ z=-2$  

•  $x=-1,\ y=-3,\ z=2$  

•  $x=1,\ y=-3,\ z=2$  

•   $x=1,\ y=3,\ z=2$  

Solve the system.

• (1, 2, -5)

• (1, -2, 5)

• (2, -4, -5)

• (3, 1, -5)

Solve the system of equations: 

• ( 4, 2, -1)
• ( 4, 3, -1)
• None of these
• ( -4, 3, 1)

Solve the following System --your answer should be in the form: (x,y,z) NO SPACES unless "no solution" or "infinitely many solutions" typed how you see it without quotations. $2x+3y+z=-3$  
 $5x-4y-z=19$  
 $5x+y+5z=3$  

• (-5, -5, 4)
• (-5, -5, 2)
• (4, 5, 4)
• (-4, 2, 3)
• (0, -5, -5)
• No Solution

• (5, -7, 12)

• (5, 7, 2)

• (5, 14, 16)

• (-7, 5, 8)

Solve the linear system.

x - 2y - 2z = 13

-x + y + z = -9

x - 4y - 4z = 21

• no solution

• (5, -4, 1)

• infinitely many solutions

• (-4, -1, -5)