Systems of Equations with Three Variables

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

• No Solution

• All Real Numbers

• Infinitely Many Solutions

• (x, y, z)

Tags

CCSS.8.EE.C.7A

Solve the system.

• (3, -5, -2)

• (-4, 1, 3)

• (3, 5, 8)

• (4, 5, 2)

Solve the system.

• (1, 2, -5)

• (1, -2, 5)

• (2, -4, -5)

• (3, 1, -5)

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: 

• ( 5, 1, -4)

• (-5, 3, -1)

• None of these

• ( -1, 5, -4)

Solve the system of equations: 

• ( -2, 4, 3)

• ( 2, 1, 6)

• No solution

• infinite # of solutions

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

• the intersection of three planes

• the origin

• infinitely many solutions

• no unique solution

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

• No solution

• Infinitely many solutions

• All real numbers

• (x,y,z)

Tags

CCSS.8.EE.C.7A

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

• x

• y

• z