Systems of Equations by Elimination: Part 1

Which of the following are TRUE about systems of linear equations? Select all that apply.

• There must be at least 3 equations in a system.

• All equations must be linear (straight lines).

• All equations must have the same variables.

• All equations must have "x" and "y" specifically.

Which of the following methods can be used to solve a system of linear equations?

• Graph the lines

• Substitution method

• Elimination method

• All of the above

The first step of the Elimination method is to arrange the variables into _________.

• rows

• columns

• substitute

• addition

The second step of the Elimination method is to identify a pair of "x" terms or "y" terms that are __________.

• single

• opposites

• identical

• married

The third step of the Elimination method is to ___________ the equations together.

• add

• subtract

• multiply

• divide

When we add the equations together, one variable (one column) is _______.

• eliminated

• selected

• graphed

• substituted

Finally, ______ your answer into one of the original equations and solve.

• graph

• eliminate

• substitute

Solve the system using elimination. What is the value of "y"?
 $-x\ +\ 3y\ =\ 13$  
 $x\ +\ y\ =\ 3$  

• y = 16
  

• y = 2
  

• y = 4
  

• y = 3
  

Solve the system using elimination. If y = 4, then what is the value of "x"?
 $-x\ +\ 3y\ =\ 13$  
 $x\ +\ y\ =\ 3$  

• x = 1
  

• x = 3
  

• x = -1
  

• x = -3
  

(2 minutes) Solve the following system of equations using the elimination method:

 $5x\ -3y\ =-16$ 
 $8x\ +\ 3y\ =\ -10$ 

• (-4, 3)
  

• (-3, 6)
  

• (-2, 2)
  

• (-1, 4)