Solving pairs of linear equations in two variables

Which variable would be easiest to eliminate?

• x

• y

• Neither

• both

How would you solve the system of equations below?

6x + y = 28

3x + y = 16

• 1) Add the equations

  2) Solve for x

  3) Solve for y

• 1) Subtract the equations

  2) Solve for x

  3) Solve for y

• 1) Multiply the 2nd equation by -2.

  2) Subtract equations

  3) Solve for x

  4) Solve for y

• 1) Multiply the 2nd equation by -1.

  2) Add equations

  3) Solve for y

  4) Solve for x

Solve by elimination:

-9x - 4y=-20

5x + 4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Solve the system.

3x + y = 19 and 2x - y = 6

Solve the system

3x - 2y = 2

5x - 5y = 10

• No Solution

• x = -2

• ( 2 , 4 )

• ( -2 , -4 )

Solve the system of Equation (Elimination Method)
5x + y = 9
10x − 7y = −18

• (-4,-1)
• (-1,-4)
• (4,1)
• (1, 4) 

Solve the system using elimination.
 $x+4y=-3$  
 $x+7y=-12$  

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

• x

• y

• both

• neither

• (4, 3)

• (-2, 1)

• (3, 0)

• (3, 6)

What is the elimination method for solving a system of equations?

• The elimination method involves graphing the equations and finding the intersection point.

• The elimination method involves multiplying the equations to eliminate one variable and solve for the other.

• The elimination method involves adding or subtracting the equations to eliminate one variable and solve for the other.

• The elimination method involves substituting one equation into the other to solve for the variables.