Solving a System of Linear Equations by Elimination

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

• (6,-9)

• (-9,6)

• No solution

• Infinite number of solutions

Solve using elimination. 
−4x − 4y = 0
  8x + 8y = 0 

• (−6, −4) 

• Infinite number of solutions  

• No solutions

• (6, 4) 

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

• No solution

• Infinite number of solutions

• (-3,3)

• (3,3)

Solve the system by elimination.
4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 

• (−10, −1) 

•  (10, −1) 

•  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

Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

• (-2,2)

• (2,-2)

• (-2,-2)

• (-2, 1/2)

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution

• ARN

• (-3,3)

• (3,3)

Solve by elimination:
-9x-4y=-20

5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)