2.8: Systems of Equations in Three Variables

2.8: Systems of Equations in Three Variables

Monday, November 2 / 2020

Open Ended

what is the value of x.

3x -3y = 6

y = -1

Multiple Choice

 $2x+y-2z=12$  
 $3x-y-4z=26$  
 $x+3y+z=0$  

Solve the system

• A.)    (-4, 10, 2)

• B.)   (10, -4, 2)

• C.)   (10, 4, -2)

• D.)   (4, -10, -2)

Open Ended

The solution to the system of equations

 $3x+2y-z=13;\ \$  

 $2x+4y+z=15;$ 

  $4x-y+2z=3$  

is … 

Multiple Choice

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

• A.) No Solution

• B.) All Real Numbers

• C.) Infinitely Many Solutions

• D.) (x, y, z)

Multiple Choice

Solve the system:

• $\left(A.\right)\ \ \ \left(8,\ 0,3\right)$

• $\left(B.\right)\ \ \ \ \left(-8,\ 0,3\right)$

• C.) Infinitely Many Solutions

• D.) No Solution