Solving Systems of Linear Equations in Three Variables

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

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CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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

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

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CCSS.8.EE.C.8A

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

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CCSS.HSA.REI.C.9

Solve the system of equations: 

• ( 5, 1, -4)
• (-5, 3, -1)
• None of these
• ( -1, 5, -4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

Solve the system of equations: 

• ( -2, 4, 3)
• ( 2, 1, 6)
• No solution
• infinite # of solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

Solve the system. 

• (5, -6, 3)
• (2, 3, -1)
• (-4, 2, 5)
• No Solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.2