Solving Systems of Equations in Three Variables and Two Variables

Solve the system.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system and find the value of x - z.

• -4

• 8

• 14

• -14

Solve the system of equations and find the value of z + y.



• 4

• -4

• 3

• 13

Solve the system of equations.

-2x+6y= 16

-4x-3y= 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

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 and find the value of 3y - x.



• -17

• -25

• 3

• -30

Solve the system of equations.

• (2, -4, -1)

• (4, -1, -2)

• (-2, 4, 1)

• (-2, 4, -1)

What is your level of understanding on a scale of 1 - 5 (5 is the high) on solving a system of equations using matrices (with the Desmos matrix calculator)?

• 1

• 2

• 3

• 4

• 5

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing