Elimination Method of System of Equations

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

What is the first step in solving a system of equations by elimination/matrices?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

 4x + 8y =  20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve by elimination 
  2x + 9y = -7
6x - 3y = 9 

• (-1, -1) 

• (2,-1)

• (1,1)

• (1,-1)

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve the system with linear combinations method (Elimination method).

x + 4y = -4

3x + 5y = 2

Type in answer with no spaces between terms. Ex: (-2,1)

If no soultion type in NS

If infinitely many solutions type in IMS

Answer explanation

Solve using Elimination Method:

x - y = 12

4x + y = 33

• (-9,-3)

• (3,-9)

• (9,-3)

• (-3,9)

Answer explanation

What would be the first step in finding the solution with elimination?

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Solve the system with linear combinations method (Elimination method). x + 4y = -4 3x + 5y = 2 Type in answer with no spaces between terms. Ex: (-2,1) If no soultion type in NS If infinitely many solutions type in IMS

Answer explanation

what is the resulting combined equation for the system below?

• -18x = 18

• y = 18

• 2y= 18

• 18x + 2y = 18