Solving a Three Variable System

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

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

• the intersection of three planes

• the origin

• infinitely many solutions

• no unique solution

Solve the system.

• (1, 2, -5)

• (1, -2, 5)

• (2, -4, -5)

• (3, 1, -5)

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair

• Integer

• Ordered Triple

• Sum

A student in solving the following system of equations using the elimination method. Explain what their first step would be if they wanted to eliminate the y variable from equations (i) and (ii).

• They would multiply equation (i) by 3 and equation (ii) by 4.

• They would multiply equation (ii) by 4.

• They would multiply equation (i) by -3 and multiply equation (ii) by 4

• They would multiply equation (i) by 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions are shown in the diagram?

• 0

• 1

• 2

• 3

Tags

CCSS.8.EE.C.8A

How many solutions are shown in the diagram?

• 0

• 1

• 2

• 3

Tags

CCSS.8.EE.C.8B

How many solutions are shown in the diagram?

• 0

• 1

• 2

• 3

Tags

CCSS.8.EE.C.8A