Systems of Equations with three variables

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.
x-3y=13
5x+6z=41
2x+4y-z=5

• (7,-2,1)
• (13,0,-4)
• (10,-1,11)
• (1,-4,6)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.9

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)
• (2, 3, 1)
• None of these
• (4, 1, -1)

Tags

CCSS.HSA.REI.C.6

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

What are systems of linear equations?

• a set of two or more linear equations in the same variables
• a polynomial with three terms
• set of two or more linear inequalities in the same variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Tags

CCSS.HSA.REI.C.9

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)
• (11, 8)
• (5, 14)
• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

• Substitution
• Elimination
• Graphing
• None

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
2x - 5y = 12
y = -2

• y = -2
• (11, -2)
• (1, -2)
• no solution

Tags

CCSS.HSA.REI.C.9