Solving Systems by Elimination Method Basics

Solve by elimination
-6x+y= -2
-3x-6y= 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?

• The  x

• The  y

• The  z

• The unknown

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

Identify the solution to this system of equations.

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

What do you have to multiply the first equation by to have the x's be opposite and the same?

• 3

• 2

• -2

• -3

Solve the system of Equation (x,y)
x + 4y = –3
 x + 7y = –12 

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

What is the next step in solving this system by elimination?
2x + 3y = 9
5x + 3y = 21

• Nothing - it is ready to go.

• Multiply one equation by -1

• Multiply the top equation by 3.

• Multiply the bottom equation by 7.

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table