Systems of Linear Equations Intro

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

Solve the system of equations: 

• ( 5, 1, -4)

• (-5, 3, -1)

• None of these

• ( -1, 5, -4)

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

What is the solution to the system of equations:

• (5,5)

• (-4,5)

• (5,4)

• (4,5)

How many solutions does the system of equations have?

• one solution

• no solutions

• infinetly many solutions

• you cannot graph two lines

When a system of equations has infinitely many solutions, what does that mean ?

• The lines cross once

• The lines never cross

• The lines are exactly the same

• Systems of equations cannot have infinite solutions

What is the solution to the system of equations? 

• (−3, 1) 

• Infinite number of solutions  

• (3, -1) 

• (-1, 3) 

What is the solution to the system?

• (-1, -2)

• (-2,-1)

• (-2, -2)

• (-1, -3)

How many solutions does the system of equations have?

• one solution

• no solutions

• infinetly many solutions

• you cannot graph two lines

What is the solution?

• (-2, 1)

• (-1, 2)

• (2, -1)

• (-2, -2)