Solving Equations Elimination

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.
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 the system by elimination.
  5x + 8y = -12
3x + 5y = -7

• (1, -10)

• No solution

• (-4, 1)

• (1, 10)

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system by elimination.

x + 6y = 17

x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Solve the system by elimination. Show all work.

3x + y = 19

2x - y = 6

• (5, 14)

• (4, 5)

• (5, 4)

• (14, 5)