Solving Systems of Equations in Three Variables

8) Solve the system of linear equations.

• (3, -1, 1)

• (-3, -1, -1)

• no solution

• infinitely many solutions

How confident do you feel solving linear systems in three variables?

• Very confident, and could help a friend.

• Fairly confident, but would like more practice

• Somewhat confident, but have some questions

• Not confident yet, and would like some help

Solve the system of equations to find the value of y.

• -2

• 3

• -3

• 2

Solve the system of equations to find the value of z.

• 4

• -4

• 2

• -2

Solve the system of equations to find the value of x.

• -3

• -2

• 2

• -4

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)

Solve the system of equations.

• (2, -4, -1)

• (4, -1, -2)

• (-2, 4, 1)

• (-2, 4, -1)

How many equations are there in a linear triple system?

• 1

• 3

• 4

• 2

The solution to a 3-variable systems of equation is...

• the intersection of three planes

• the origin

• infinitely many solutions

• no unique solution